(x+1)(2x+8)=(x+7)(x+3)

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Solution for (x+1)(2x+8)=(x+7)(x+3) equation: 


Simplifying
(x + 1)(2x + 8) = (x + 7)(x + 3)

Reorder the terms:
(1 + x)(2x + 8) = (x + 7)(x + 3)

Reorder the terms:
(1 + x)(8 + 2x) = (x + 7)(x + 3)

Multiply (1 + x) * (8 + 2x)
(1(8 + 2x) + x(8 + 2x)) = (x + 7)(x + 3)
((8 * 1 + 2x * 1) + x(8 + 2x)) = (x + 7)(x + 3)
((8 + 2x) + x(8 + 2x)) = (x + 7)(x + 3)
(8 + 2x + (8 * x + 2x * x)) = (x + 7)(x + 3)
(8 + 2x + (8x + 2x2)) = (x + 7)(x + 3)

Combine like terms: 2x + 8x = 10x
(8 + 10x + 2x2) = (x + 7)(x + 3)

Reorder the terms:
8 + 10x + 2x2 = (7 + x)(x + 3)

Reorder the terms:
8 + 10x + 2x2 = (7 + x)(3 + x)

Multiply (7 + x) * (3 + x)
8 + 10x + 2x2 = (7(3 + x) + x(3 + x))
8 + 10x + 2x2 = ((3 * 7 + x * 7) + x(3 + x))
8 + 10x + 2x2 = ((21 + 7x) + x(3 + x))
8 + 10x + 2x2 = (21 + 7x + (3 * x + x * x))
8 + 10x + 2x2 = (21 + 7x + (3x + x2))

Combine like terms: 7x + 3x = 10x
8 + 10x + 2x2 = (21 + 10x + x2)

Add '-10x' to each side of the equation.
8 + 10x + -10x + 2x2 = 21 + 10x + -10x + x2

Combine like terms: 10x + -10x = 0
8 + 0 + 2x2 = 21 + 10x + -10x + x2
8 + 2x2 = 21 + 10x + -10x + x2

Combine like terms: 10x + -10x = 0
8 + 2x2 = 21 + 0 + x2
8 + 2x2 = 21 + x2

Solving
8 + 2x2 = 21 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
8 + 2x2 + -1x2 = 21 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
8 + 1x2 = 21 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + 1x2 = 21 + 0
8 + 1x2 = 21

Add '-8' to each side of the equation.
8 + -8 + 1x2 = 21 + -8

Combine like terms: 8 + -8 = 0
0 + 1x2 = 21 + -8
1x2 = 21 + -8

Combine like terms: 21 + -8 = 13
1x2 = 13

Divide each side by '1'.
x2 = 13

Simplifying
x2 = 13

Take the square root of each side:
x = {-3.605551275, 3.605551275}

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