(x+2)(x+2)=(x-3)(x-3)-(15-2x)

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Solution for (x+2)(x+2)=(x-3)(x-3)-(15-2x) equation: 


Simplifying
(x + 2)(x + 2) = (x + -3)(x + -3) + -1(15 + -2x)

Reorder the terms:
(2 + x)(x + 2) = (x + -3)(x + -3) + -1(15 + -2x)

Reorder the terms:
(2 + x)(2 + x) = (x + -3)(x + -3) + -1(15 + -2x)

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x)) = (x + -3)(x + -3) + -1(15 + -2x)
((2 * 2 + x * 2) + x(2 + x)) = (x + -3)(x + -3) + -1(15 + -2x)
((4 + 2x) + x(2 + x)) = (x + -3)(x + -3) + -1(15 + -2x)
(4 + 2x + (2 * x + x * x)) = (x + -3)(x + -3) + -1(15 + -2x)
(4 + 2x + (2x + x2)) = (x + -3)(x + -3) + -1(15 + -2x)

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2) = (x + -3)(x + -3) + -1(15 + -2x)

Reorder the terms:
4 + 4x + x2 = (-3 + x)(x + -3) + -1(15 + -2x)

Reorder the terms:
4 + 4x + x2 = (-3 + x)(-3 + x) + -1(15 + -2x)

Multiply (-3 + x) * (-3 + x)
4 + 4x + x2 = (-3(-3 + x) + x(-3 + x)) + -1(15 + -2x)
4 + 4x + x2 = ((-3 * -3 + x * -3) + x(-3 + x)) + -1(15 + -2x)
4 + 4x + x2 = ((9 + -3x) + x(-3 + x)) + -1(15 + -2x)
4 + 4x + x2 = (9 + -3x + (-3 * x + x * x)) + -1(15 + -2x)
4 + 4x + x2 = (9 + -3x + (-3x + x2)) + -1(15 + -2x)

Combine like terms: -3x + -3x = -6x
4 + 4x + x2 = (9 + -6x + x2) + -1(15 + -2x)
4 + 4x + x2 = 9 + -6x + x2 + (15 * -1 + -2x * -1)
4 + 4x + x2 = 9 + -6x + x2 + (-15 + 2x)

Reorder the terms:
4 + 4x + x2 = 9 + -15 + -6x + 2x + x2

Combine like terms: 9 + -15 = -6
4 + 4x + x2 = -6 + -6x + 2x + x2

Combine like terms: -6x + 2x = -4x
4 + 4x + x2 = -6 + -4x + x2

Add '-1x2' to each side of the equation.
4 + 4x + x2 + -1x2 = -6 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 4x + 0 = -6 + -4x + x2 + -1x2
4 + 4x = -6 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 4x = -6 + -4x + 0
4 + 4x = -6 + -4x

Solving
4 + 4x = -6 + -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 = -6 + -4x + 4x

Combine like terms: 4x + 4x = 8x
4 + 8x = -6 + -4x + 4x

Combine like terms: -4x + 4x = 0
4 + 8x = -6 + 0
4 + 8x = -6

Add '-4' to each side of the equation.
4 + -4 + 8x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = -6 + -4
8x = -6 + -4

Combine like terms: -6 + -4 = -10
8x = -10

Divide each side by '8'.
x = -1.25

Simplifying
x = -1.25

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