[(x+3)*(x+3)]+4=[(x-2)*(x-2)]+5x-2

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Solution for [(x+3)*(x+3)]+4=[(x-2)*(x-2)]+5x-2 equation: 


Simplifying
[(x + 3)(x + 3)] + 4 = [(x + -2)(x + -2)] + 5x + -2

Reorder the terms:
[(3 + x)(x + 3)] + 4 = [(x + -2)(x + -2)] + 5x + -2

Reorder the terms:
[(3 + x)(3 + x)] + 4 = [(x + -2)(x + -2)] + 5x + -2

Multiply (3 + x) * (3 + x)
[(3(3 + x) + x(3 + x))] + 4 = [(x + -2)(x + -2)] + 5x + -2
[((3 * 3 + x * 3) + x(3 + x))] + 4 = [(x + -2)(x + -2)] + 5x + -2
[((9 + 3x) + x(3 + x))] + 4 = [(x + -2)(x + -2)] + 5x + -2
[(9 + 3x + (3 * x + x * x))] + 4 = [(x + -2)(x + -2)] + 5x + -2
[(9 + 3x + (3x + x2))] + 4 = [(x + -2)(x + -2)] + 5x + -2

Combine like terms: 3x + 3x = 6x
[(9 + 6x + x2)] + 4 = [(x + -2)(x + -2)] + 5x + -2
[9 + 6x + x2] + 4 = [(x + -2)(x + -2)] + 5x + -2

Remove brackets around [9 + 6x + x2]
9 + 6x + x2 + 4 = [(x + -2)(x + -2)] + 5x + -2

Reorder the terms:
9 + 4 + 6x + x2 = [(x + -2)(x + -2)] + 5x + -2

Combine like terms: 9 + 4 = 13
13 + 6x + x2 = [(x + -2)(x + -2)] + 5x + -2

Reorder the terms:
13 + 6x + x2 = [(-2 + x)(x + -2)] + 5x + -2

Reorder the terms:
13 + 6x + x2 = [(-2 + x)(-2 + x)] + 5x + -2

Multiply (-2 + x) * (-2 + x)
13 + 6x + x2 = [(-2(-2 + x) + x(-2 + x))] + 5x + -2
13 + 6x + x2 = [((-2 * -2 + x * -2) + x(-2 + x))] + 5x + -2
13 + 6x + x2 = [((4 + -2x) + x(-2 + x))] + 5x + -2
13 + 6x + x2 = [(4 + -2x + (-2 * x + x * x))] + 5x + -2
13 + 6x + x2 = [(4 + -2x + (-2x + x2))] + 5x + -2

Combine like terms: -2x + -2x = -4x
13 + 6x + x2 = [(4 + -4x + x2)] + 5x + -2
13 + 6x + x2 = [4 + -4x + x2] + 5x + -2

Remove brackets around [4 + -4x + x2]
13 + 6x + x2 = 4 + -4x + x2 + 5x + -2

Reorder the terms:
13 + 6x + x2 = 4 + -2 + -4x + 5x + x2

Combine like terms: 4 + -2 = 2
13 + 6x + x2 = 2 + -4x + 5x + x2

Combine like terms: -4x + 5x = 1x
13 + 6x + x2 = 2 + 1x + x2

Add '-1x2' to each side of the equation.
13 + 6x + x2 + -1x2 = 2 + 1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
13 + 6x + 0 = 2 + 1x + x2 + -1x2
13 + 6x = 2 + 1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
13 + 6x = 2 + 1x + 0
13 + 6x = 2 + 1x

Solving
13 + 6x = 2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
13 + 6x + -1x = 2 + 1x + -1x

Combine like terms: 6x + -1x = 5x
13 + 5x = 2 + 1x + -1x

Combine like terms: 1x + -1x = 0
13 + 5x = 2 + 0
13 + 5x = 2

Add '-13' to each side of the equation.
13 + -13 + 5x = 2 + -13

Combine like terms: 13 + -13 = 0
0 + 5x = 2 + -13
5x = 2 + -13

Combine like terms: 2 + -13 = -11
5x = -11

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2

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