4(x-1)(x+1)-4(x+1)=

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Solution for 4(x-1)(x+1)-4(x+1)= equation: 


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

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

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

Multiply (-1 + x) * (1 + x)
4(-1(1 + x) + x(1 + x)) + -4(x + 1) = 0
4((1 * -1 + x * -1) + x(1 + x)) + -4(x + 1) = 0
4((-1 + -1x) + x(1 + x)) + -4(x + 1) = 0
4(-1 + -1x + (1 * x + x * x)) + -4(x + 1) = 0
4(-1 + -1x + (1x + x2)) + -4(x + 1) = 0

Combine like terms: -1x + 1x = 0
4(-1 + 0 + x2) + -4(x + 1) = 0
4(-1 + x2) + -4(x + 1) = 0
(-1 * 4 + x2 * 4) + -4(x + 1) = 0
(-4 + 4x2) + -4(x + 1) = 0

Reorder the terms:
-4 + 4x2 + -4(1 + x) = 0
-4 + 4x2 + (1 * -4 + x * -4) = 0
-4 + 4x2 + (-4 + -4x) = 0

Reorder the terms:
-4 + -4 + -4x + 4x2 = 0

Combine like terms: -4 + -4 = -8
-8 + -4x + 4x2 = 0

Solving
-8 + -4x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -1x + x2) = 0

Factor a trinomial.
4((-1 + -1x)(2 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1

Combine like terms: 0 + 1 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1, 2}

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