(x+5)(x+5)+3=(x-2)(x-2)

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Solution for (x+5)(x+5)+3=(x-2)(x-2) equation: 


Simplifying
(x + 5)(x + 5) + 3 = (x + -2)(x + -2)

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

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

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) + 3 = (x + -2)(x + -2)
((5 * 5 + x * 5) + x(5 + x)) + 3 = (x + -2)(x + -2)
((25 + 5x) + x(5 + x)) + 3 = (x + -2)(x + -2)
(25 + 5x + (5 * x + x * x)) + 3 = (x + -2)(x + -2)
(25 + 5x + (5x + x2)) + 3 = (x + -2)(x + -2)

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) + 3 = (x + -2)(x + -2)

Reorder the terms:
25 + 3 + 10x + x2 = (x + -2)(x + -2)

Combine like terms: 25 + 3 = 28
28 + 10x + x2 = (x + -2)(x + -2)

Reorder the terms:
28 + 10x + x2 = (-2 + x)(x + -2)

Reorder the terms:
28 + 10x + x2 = (-2 + x)(-2 + x)

Multiply (-2 + x) * (-2 + x)
28 + 10x + x2 = (-2(-2 + x) + x(-2 + x))
28 + 10x + x2 = ((-2 * -2 + x * -2) + x(-2 + x))
28 + 10x + x2 = ((4 + -2x) + x(-2 + x))
28 + 10x + x2 = (4 + -2x + (-2 * x + x * x))
28 + 10x + x2 = (4 + -2x + (-2x + x2))

Combine like terms: -2x + -2x = -4x
28 + 10x + x2 = (4 + -4x + x2)

Add '-1x2' to each side of the equation.
28 + 10x + x2 + -1x2 = 4 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
28 + 10x + 0 = 4 + -4x + x2 + -1x2
28 + 10x = 4 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
28 + 10x = 4 + -4x + 0
28 + 10x = 4 + -4x

Solving
28 + 10x = 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.
28 + 10x + 4x = 4 + -4x + 4x

Combine like terms: 10x + 4x = 14x
28 + 14x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
28 + 14x = 4 + 0
28 + 14x = 4

Add '-28' to each side of the equation.
28 + -28 + 14x = 4 + -28

Combine like terms: 28 + -28 = 0
0 + 14x = 4 + -28
14x = 4 + -28

Combine like terms: 4 + -28 = -24
14x = -24

Divide each side by '14'.
x = -1.714285714

Simplifying
x = -1.714285714

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