x(x+2)+88=(x+5)(x+4)

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Solution for x(x+2)+88=(x+5)(x+4) equation: 


Simplifying
x(x + 2) + 88 = (x + 5)(x + 4)

Reorder the terms:
x(2 + x) + 88 = (x + 5)(x + 4)
(2 * x + x * x) + 88 = (x + 5)(x + 4)
(2x + x2) + 88 = (x + 5)(x + 4)

Reorder the terms:
88 + 2x + x2 = (x + 5)(x + 4)

Reorder the terms:
88 + 2x + x2 = (5 + x)(x + 4)

Reorder the terms:
88 + 2x + x2 = (5 + x)(4 + x)

Multiply (5 + x) * (4 + x)
88 + 2x + x2 = (5(4 + x) + x(4 + x))
88 + 2x + x2 = ((4 * 5 + x * 5) + x(4 + x))
88 + 2x + x2 = ((20 + 5x) + x(4 + x))
88 + 2x + x2 = (20 + 5x + (4 * x + x * x))
88 + 2x + x2 = (20 + 5x + (4x + x2))

Combine like terms: 5x + 4x = 9x
88 + 2x + x2 = (20 + 9x + x2)

Add '-1x2' to each side of the equation.
88 + 2x + x2 + -1x2 = 20 + 9x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
88 + 2x + 0 = 20 + 9x + x2 + -1x2
88 + 2x = 20 + 9x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
88 + 2x = 20 + 9x + 0
88 + 2x = 20 + 9x

Solving
88 + 2x = 20 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
88 + 2x + -9x = 20 + 9x + -9x

Combine like terms: 2x + -9x = -7x
88 + -7x = 20 + 9x + -9x

Combine like terms: 9x + -9x = 0
88 + -7x = 20 + 0
88 + -7x = 20

Add '-88' to each side of the equation.
88 + -88 + -7x = 20 + -88

Combine like terms: 88 + -88 = 0
0 + -7x = 20 + -88
-7x = 20 + -88

Combine like terms: 20 + -88 = -68
-7x = -68

Divide each side by '-7'.
x = 9.714285714

Simplifying
x = 9.714285714

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