# abd(7x-1)=abc(3x-9)

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## Solution for abd(7x-1)=abc(3x-9) equation:

Simplifying
abd(7x + -1) = abc(3x + -9)
Reorder the terms:
abd(-1 + 7x) = abc(3x + -9)
(-1 * abd + 7x * abd) = abc(3x + -9)
(-1abd + 7abdx) = abc(3x + -9)
Reorder the terms:
-1abd + 7abdx = abc(-9 + 3x)
-1abd + 7abdx = (-9 * abc + 3x * abc)
-1abd + 7abdx = (-9abc + 3abcx)
Solving
-1abd + 7abdx = -9abc + 3abcx
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '9abc' to each side of the equation.
-1abd + 9abc + 7abdx = -9abc + 9abc + 3abcx
Reorder the terms:
9abc + -1abd + 7abdx = -9abc + 9abc + 3abcx
Combine like terms: -9abc + 9abc = 0
9abc + -1abd + 7abdx = 0 + 3abcx
9abc + -1abd + 7abdx = 3abcx
Add '-3abcx' to each side of the equation.
9abc + -1abd + -3abcx + 7abdx = 3abcx + -3abcx
Reorder the terms:
9abc + -3abcx + -1abd + 7abdx = 3abcx + -3abcx
Combine like terms: 3abcx + -3abcx = 0
9abc + -3abcx + -1abd + 7abdx = 0
Factor out the Greatest Common Factor (GCF), 'ab'.
ab(9c + -3cx + -1d + 7dx) = 0
Subproblem 1Set the factor 'ab' equal to zero and attempt to solve:
Simplifying
ab = 0
Solving
ab = 0
Move all terms containing a to the left, all other terms to the right.
Simplifying
ab = 0
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.
Subproblem 2Set the factor '(9c + -3cx + -1d + 7dx)' equal to zero and attempt to solve:
Simplifying
9c + -3cx + -1d + 7dx = 0
Solving
9c + -3cx + -1d + 7dx = 0
Move all terms containing a to the left, all other terms to the right.
Add '-9c' to each side of the equation.
9c + -3cx + -1d + -9c + 7dx = 0 + -9c
Reorder the terms:
9c + -9c + -3cx + -1d + 7dx = 0 + -9c
Combine like terms: 9c + -9c = 0
0 + -3cx + -1d + 7dx = 0 + -9c
-3cx + -1d + 7dx = 0 + -9c
Remove the zero:
-3cx + -1d + 7dx = -9c
Add '3cx' to each side of the equation.
-3cx + -1d + 3cx + 7dx = -9c + 3cx
Reorder the terms:
-3cx + 3cx + -1d + 7dx = -9c + 3cx
Combine like terms: -3cx + 3cx = 0
0 + -1d + 7dx = -9c + 3cx
-1d + 7dx = -9c + 3cx
Add 'd' to each side of the equation.
-1d + d + 7dx = -9c + 3cx + d
Combine like terms: -1d + d = 0
0 + 7dx = -9c + 3cx + d
7dx = -9c + 3cx + d
Add '-7dx' to each side of the equation.
7dx + -7dx = -9c + 3cx + d + -7dx
Combine like terms: 7dx + -7dx = 0
0 = -9c + 3cx + d + -7dx
Simplifying
0 = -9c + 3cx + d + -7dx
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.
The solution to this equation could not be determined.`