(x+1)(x+1)=(x+5)(x-2)

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Solution for (x+1)(x+1)=(x+5)(x-2) equation: 


Simplifying
(x + 1)(x + 1) = (x + 5)(x + -2)

Reorder the terms:
(1 + x)(x + 1) = (x + 5)(x + -2)

Reorder the terms:
(1 + x)(1 + x) = (x + 5)(x + -2)

Multiply (1 + x) * (1 + x)
(1(1 + x) + x(1 + x)) = (x + 5)(x + -2)
((1 * 1 + x * 1) + x(1 + x)) = (x + 5)(x + -2)
((1 + 1x) + x(1 + x)) = (x + 5)(x + -2)
(1 + 1x + (1 * x + x * x)) = (x + 5)(x + -2)
(1 + 1x + (1x + x2)) = (x + 5)(x + -2)

Combine like terms: 1x + 1x = 2x
(1 + 2x + x2) = (x + 5)(x + -2)

Reorder the terms:
1 + 2x + x2 = (5 + x)(x + -2)

Reorder the terms:
1 + 2x + x2 = (5 + x)(-2 + x)

Multiply (5 + x) * (-2 + x)
1 + 2x + x2 = (5(-2 + x) + x(-2 + x))
1 + 2x + x2 = ((-2 * 5 + x * 5) + x(-2 + x))
1 + 2x + x2 = ((-10 + 5x) + x(-2 + x))
1 + 2x + x2 = (-10 + 5x + (-2 * x + x * x))
1 + 2x + x2 = (-10 + 5x + (-2x + x2))

Combine like terms: 5x + -2x = 3x
1 + 2x + x2 = (-10 + 3x + x2)

Add '-1x2' to each side of the equation.
1 + 2x + x2 + -1x2 = -10 + 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1 + 2x + 0 = -10 + 3x + x2 + -1x2
1 + 2x = -10 + 3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1 + 2x = -10 + 3x + 0
1 + 2x = -10 + 3x

Solving
1 + 2x = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + 2x + -3x = -10 + 3x + -3x

Combine like terms: 2x + -3x = -1x
1 + -1x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + -1x = -10 + 0
1 + -1x = -10

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

Combine like terms: 1 + -1 = 0
0 + -1x = -10 + -1
-1x = -10 + -1

Combine like terms: -10 + -1 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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