2(x+6)+(x+2)(x-2)=2x+8

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Solution for 2(x+6)+(x+2)(x-2)=2x+8 equation:


Simplifying
2(x + 6) + (x + 2)(x + -2) = 2x + 8

Reorder the terms:
2(6 + x) + (x + 2)(x + -2) = 2x + 8
(6 * 2 + x * 2) + (x + 2)(x + -2) = 2x + 8
(12 + 2x) + (x + 2)(x + -2) = 2x + 8

Reorder the terms:
12 + 2x + (2 + x)(x + -2) = 2x + 8

Reorder the terms:
12 + 2x + (2 + x)(-2 + x) = 2x + 8

Multiply (2 + x) * (-2 + x)
12 + 2x + (2(-2 + x) + x(-2 + x)) = 2x + 8
12 + 2x + ((-2 * 2 + x * 2) + x(-2 + x)) = 2x + 8
12 + 2x + ((-4 + 2x) + x(-2 + x)) = 2x + 8
12 + 2x + (-4 + 2x + (-2 * x + x * x)) = 2x + 8
12 + 2x + (-4 + 2x + (-2x + x2)) = 2x + 8

Combine like terms: 2x + -2x = 0
12 + 2x + (-4 + 0 + x2) = 2x + 8
12 + 2x + (-4 + x2) = 2x + 8

Reorder the terms:
12 + -4 + 2x + x2 = 2x + 8

Combine like terms: 12 + -4 = 8
8 + 2x + x2 = 2x + 8

Reorder the terms:
8 + 2x + x2 = 8 + 2x

Add '-8' to each side of the equation.
8 + 2x + -8 + x2 = 8 + -8 + 2x

Reorder the terms:
8 + -8 + 2x + x2 = 8 + -8 + 2x

Combine like terms: 8 + -8 = 0
0 + 2x + x2 = 8 + -8 + 2x
2x + x2 = 8 + -8 + 2x

Combine like terms: 8 + -8 = 0
2x + x2 = 0 + 2x
2x + x2 = 2x

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

Combine like terms: 2x + -2x = 0
0 + x2 = 2x + -2x
x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
x2 = 0

Solving
x2 = 0

Solving for variable 'x'.

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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