(x+2)(x+2)=(x-2)(x-2)+10

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Solution for (x+2)(x+2)=(x-2)(x-2)+10 equation: 


Simplifying
(x + 2)(x + 2) = (x + -2)(x + -2) + 10

Reorder the terms:
(2 + x)(x + 2) = (x + -2)(x + -2) + 10

Reorder the terms:
(2 + x)(2 + x) = (x + -2)(x + -2) + 10

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x)) = (x + -2)(x + -2) + 10
((2 * 2 + x * 2) + x(2 + x)) = (x + -2)(x + -2) + 10
((4 + 2x) + x(2 + x)) = (x + -2)(x + -2) + 10
(4 + 2x + (2 * x + x * x)) = (x + -2)(x + -2) + 10
(4 + 2x + (2x + x2)) = (x + -2)(x + -2) + 10

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2) = (x + -2)(x + -2) + 10

Reorder the terms:
4 + 4x + x2 = (-2 + x)(x + -2) + 10

Reorder the terms:
4 + 4x + x2 = (-2 + x)(-2 + x) + 10

Multiply (-2 + x) * (-2 + x)
4 + 4x + x2 = (-2(-2 + x) + x(-2 + x)) + 10
4 + 4x + x2 = ((-2 * -2 + x * -2) + x(-2 + x)) + 10
4 + 4x + x2 = ((4 + -2x) + x(-2 + x)) + 10
4 + 4x + x2 = (4 + -2x + (-2 * x + x * x)) + 10
4 + 4x + x2 = (4 + -2x + (-2x + x2)) + 10

Combine like terms: -2x + -2x = -4x
4 + 4x + x2 = (4 + -4x + x2) + 10

Reorder the terms:
4 + 4x + x2 = 4 + 10 + -4x + x2

Combine like terms: 4 + 10 = 14
4 + 4x + x2 = 14 + -4x + x2

Add '-1x2' to each side of the equation.
4 + 4x + x2 + -1x2 = 14 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 4x + 0 = 14 + -4x + x2 + -1x2
4 + 4x = 14 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 4x = 14 + -4x + 0
4 + 4x = 14 + -4x

Solving
4 + 4x = 14 + -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.
4 + 4x + 4x = 14 + -4x + 4x

Combine like terms: 4x + 4x = 8x
4 + 8x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
4 + 8x = 14 + 0
4 + 8x = 14

Add '-4' to each side of the equation.
4 + -4 + 8x = 14 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = 14 + -4
8x = 14 + -4

Combine like terms: 14 + -4 = 10
8x = 10

Divide each side by '8'.
x = 1.25

Simplifying
x = 1.25

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