(2x-2)(2x-2)=49

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Solution for (2x-2)(2x-2)=49 equation: 


Simplifying
(2x + -2)(2x + -2) = 49

Reorder the terms:
(-2 + 2x)(2x + -2) = 49

Reorder the terms:
(-2 + 2x)(-2 + 2x) = 49

Multiply (-2 + 2x) * (-2 + 2x)
(-2(-2 + 2x) + 2x * (-2 + 2x)) = 49
((-2 * -2 + 2x * -2) + 2x * (-2 + 2x)) = 49
((4 + -4x) + 2x * (-2 + 2x)) = 49
(4 + -4x + (-2 * 2x + 2x * 2x)) = 49
(4 + -4x + (-4x + 4x2)) = 49

Combine like terms: -4x + -4x = -8x
(4 + -8x + 4x2) = 49

Solving
4 + -8x + 4x2 = 49

Solving for variable 'x'.

Reorder the terms:
4 + -49 + -8x + 4x2 = 49 + -49

Combine like terms: 4 + -49 = -45
-45 + -8x + 4x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-45 + -8x + 4x2 = 0

Factor a trinomial.
(-5 + -2x)(9 + -2x) = 0


Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {-2.5, 4.5}

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