x^2+(2x-2)(2x-2)=745

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Solution for x^2+(2x-2)(2x-2)=745 equation: 


Simplifying
x2 + (2x + -2)(2x + -2) = 745

Reorder the terms:
x2 + (-2 + 2x)(2x + -2) = 745

Reorder the terms:
x2 + (-2 + 2x)(-2 + 2x) = 745

Multiply (-2 + 2x) * (-2 + 2x)
x2 + (-2(-2 + 2x) + 2x * (-2 + 2x)) = 745
x2 + ((-2 * -2 + 2x * -2) + 2x * (-2 + 2x)) = 745
x2 + ((4 + -4x) + 2x * (-2 + 2x)) = 745
x2 + (4 + -4x + (-2 * 2x + 2x * 2x)) = 745
x2 + (4 + -4x + (-4x + 4x2)) = 745

Combine like terms: -4x + -4x = -8x
x2 + (4 + -8x + 4x2) = 745

Reorder the terms:
4 + -8x + x2 + 4x2 = 745

Combine like terms: x2 + 4x2 = 5x2
4 + -8x + 5x2 = 745

Solving
4 + -8x + 5x2 = 745

Solving for variable 'x'.

Reorder the terms:
4 + -745 + -8x + 5x2 = 745 + -745

Combine like terms: 4 + -745 = -741
-741 + -8x + 5x2 = 745 + -745

Combine like terms: 745 + -745 = 0
-741 + -8x + 5x2 = 0

Factor a trinomial.
(-57 + -5x)(13 + -1x) = 0


Subproblem 1
Set the factor '(-57 + -5x)' equal to zero and attempt to solve:

Simplifying
-57 + -5x = 0

Solving
-57 + -5x = 0

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

Add '57' to each side of the equation.
-57 + 57 + -5x = 0 + 57

Combine like terms: -57 + 57 = 0
0 + -5x = 0 + 57
-5x = 0 + 57

Combine like terms: 0 + 57 = 57
-5x = 57

Divide each side by '-5'.
x = -11.4

Simplifying
x = -11.4

Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {-11.4, 13}

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