4a^2*(x-1)-4x+4=

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Solution for 4a^2*(x-1)-4x+4= equation:


Simplifying
4a2(x + -1) + -4x + 4 = 0

Reorder the terms:
4a2(-1 + x) + -4x + 4 = 0
(-1 * 4a2 + x * 4a2) + -4x + 4 = 0
(-4a2 + 4a2x) + -4x + 4 = 0

Reorder the terms:
4 + -4a2 + 4a2x + -4x = 0

Solving
4 + -4a2 + 4a2x + -4x = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4a2 + 4a2x + -4 + -4x = 0 + -4

Reorder the terms:
4 + -4 + -4a2 + 4a2x + -4x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -4a2 + 4a2x + -4x = 0 + -4
-4a2 + 4a2x + -4x = 0 + -4

Combine like terms: 0 + -4 = -4
-4a2 + 4a2x + -4x = -4

Add '4x' to each side of the equation.
-4a2 + 4a2x + -4x + 4x = -4 + 4x

Combine like terms: -4x + 4x = 0
-4a2 + 4a2x + 0 = -4 + 4x
-4a2 + 4a2x = -4 + 4x

Reorder the terms:
4 + -4a2 + 4a2x + -4x = -4 + 4x + 4 + -4x

Reorder the terms:
4 + -4a2 + 4a2x + -4x = -4 + 4 + 4x + -4x

Combine like terms: -4 + 4 = 0
4 + -4a2 + 4a2x + -4x = 0 + 4x + -4x
4 + -4a2 + 4a2x + -4x = 4x + -4x

Combine like terms: 4x + -4x = 0
4 + -4a2 + 4a2x + -4x = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + -1a2 + a2x + -1x) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(1 + -1a2 + a2x + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1a2 + a2x + -1x = 0 Solving 1 + -1a2 + a2x + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1a2 + a2x + -1 + -1x = 0 + -1 Reorder the terms: 1 + -1 + -1a2 + a2x + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a2 + a2x + -1x = 0 + -1 -1a2 + a2x + -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1a2 + a2x + -1x = -1 Add 'x' to each side of the equation. -1a2 + a2x + -1x + x = -1 + x Combine like terms: -1x + x = 0 -1a2 + a2x + 0 = -1 + x -1a2 + a2x = -1 + x 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.

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