(x+4)(x+4)+76=(x+2)(x+2)

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Solution for (x+4)(x+4)+76=(x+2)(x+2) equation: 


Simplifying
(x + 4)(x + 4) + 76 = (x + 2)(x + 2)

Reorder the terms:
(4 + x)(x + 4) + 76 = (x + 2)(x + 2)

Reorder the terms:
(4 + x)(4 + x) + 76 = (x + 2)(x + 2)

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) + 76 = (x + 2)(x + 2)
((4 * 4 + x * 4) + x(4 + x)) + 76 = (x + 2)(x + 2)
((16 + 4x) + x(4 + x)) + 76 = (x + 2)(x + 2)
(16 + 4x + (4 * x + x * x)) + 76 = (x + 2)(x + 2)
(16 + 4x + (4x + x2)) + 76 = (x + 2)(x + 2)

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) + 76 = (x + 2)(x + 2)

Reorder the terms:
16 + 76 + 8x + x2 = (x + 2)(x + 2)

Combine like terms: 16 + 76 = 92
92 + 8x + x2 = (x + 2)(x + 2)

Reorder the terms:
92 + 8x + x2 = (2 + x)(x + 2)

Reorder the terms:
92 + 8x + x2 = (2 + x)(2 + x)

Multiply (2 + x) * (2 + x)
92 + 8x + x2 = (2(2 + x) + x(2 + x))
92 + 8x + x2 = ((2 * 2 + x * 2) + x(2 + x))
92 + 8x + x2 = ((4 + 2x) + x(2 + x))
92 + 8x + x2 = (4 + 2x + (2 * x + x * x))
92 + 8x + x2 = (4 + 2x + (2x + x2))

Combine like terms: 2x + 2x = 4x
92 + 8x + x2 = (4 + 4x + x2)

Add '-1x2' to each side of the equation.
92 + 8x + x2 + -1x2 = 4 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
92 + 8x + 0 = 4 + 4x + x2 + -1x2
92 + 8x = 4 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
92 + 8x = 4 + 4x + 0
92 + 8x = 4 + 4x

Solving
92 + 8x = 4 + 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.
92 + 8x + -4x = 4 + 4x + -4x

Combine like terms: 8x + -4x = 4x
92 + 4x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
92 + 4x = 4 + 0
92 + 4x = 4

Add '-92' to each side of the equation.
92 + -92 + 4x = 4 + -92

Combine like terms: 92 + -92 = 0
0 + 4x = 4 + -92
4x = 4 + -92

Combine like terms: 4 + -92 = -88
4x = -88

Divide each side by '4'.
x = -22

Simplifying
x = -22

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