4(x^2-1)=4x-1

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

Simplifying
4(x2 + -1) = 4x + -1

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

Reorder the terms:
-4 + 4x2 = -1 + 4x

Solving
-4 + 4x2 = -1 + 4x

Solving for variable 'x'.

Reorder the terms:
-4 + 1 + -4x + 4x2 = -1 + 4x + 1 + -4x

Combine like terms: -4 + 1 = -3
-3 + -4x + 4x2 = -1 + 4x + 1 + -4x

Reorder the terms:
-3 + -4x + 4x2 = -1 + 1 + 4x + -4x

Combine like terms: -1 + 1 = 0
-3 + -4x + 4x2 = 0 + 4x + -4x
-3 + -4x + 4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -4x + 4x2 = 0

Factor a trinomial.
(-1 + -2x)(3 + -2x) = 0

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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-0.5, 1.5}