(x-1)(x-1)=(x+2)(x+2)-69

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Solution for (x-1)(x-1)=(x+2)(x+2)-69 equation: 


Simplifying
(x + -1)(x + -1) = (x + 2)(x + 2) + -69

Reorder the terms:
(-1 + x)(x + -1) = (x + 2)(x + 2) + -69

Reorder the terms:
(-1 + x)(-1 + x) = (x + 2)(x + 2) + -69

Multiply (-1 + x) * (-1 + x)
(-1(-1 + x) + x(-1 + x)) = (x + 2)(x + 2) + -69
((-1 * -1 + x * -1) + x(-1 + x)) = (x + 2)(x + 2) + -69
((1 + -1x) + x(-1 + x)) = (x + 2)(x + 2) + -69
(1 + -1x + (-1 * x + x * x)) = (x + 2)(x + 2) + -69
(1 + -1x + (-1x + x2)) = (x + 2)(x + 2) + -69

Combine like terms: -1x + -1x = -2x
(1 + -2x + x2) = (x + 2)(x + 2) + -69

Reorder the terms:
1 + -2x + x2 = (2 + x)(x + 2) + -69

Reorder the terms:
1 + -2x + x2 = (2 + x)(2 + x) + -69

Multiply (2 + x) * (2 + x)
1 + -2x + x2 = (2(2 + x) + x(2 + x)) + -69
1 + -2x + x2 = ((2 * 2 + x * 2) + x(2 + x)) + -69
1 + -2x + x2 = ((4 + 2x) + x(2 + x)) + -69
1 + -2x + x2 = (4 + 2x + (2 * x + x * x)) + -69
1 + -2x + x2 = (4 + 2x + (2x + x2)) + -69

Combine like terms: 2x + 2x = 4x
1 + -2x + x2 = (4 + 4x + x2) + -69

Reorder the terms:
1 + -2x + x2 = 4 + -69 + 4x + x2

Combine like terms: 4 + -69 = -65
1 + -2x + x2 = -65 + 4x + x2

Add '-1x2' to each side of the equation.
1 + -2x + x2 + -1x2 = -65 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1 + -2x + 0 = -65 + 4x + x2 + -1x2
1 + -2x = -65 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1 + -2x = -65 + 4x + 0
1 + -2x = -65 + 4x

Solving
1 + -2x = -65 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1 + -2x + -4x = -65 + 4x + -4x

Combine like terms: -2x + -4x = -6x
1 + -6x = -65 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -6x = -65 + 0
1 + -6x = -65

Add '-1' to each side of the equation.
1 + -1 + -6x = -65 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = -65 + -1
-6x = -65 + -1

Combine like terms: -65 + -1 = -66
-6x = -66

Divide each side by '-6'.
x = 11

Simplifying
x = 11

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