130=(x+2)(x+5)

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Solution for 130=(x+2)(x+5) equation: 


Simplifying
130 = (x + 2)(x + 5)

Reorder the terms:
130 = (2 + x)(x + 5)

Reorder the terms:
130 = (2 + x)(5 + x)

Multiply (2 + x) * (5 + x)
130 = (2(5 + x) + x(5 + x))
130 = ((5 * 2 + x * 2) + x(5 + x))
130 = ((10 + 2x) + x(5 + x))
130 = (10 + 2x + (5 * x + x * x))
130 = (10 + 2x + (5x + x2))

Combine like terms: 2x + 5x = 7x
130 = (10 + 7x + x2)

Solving
130 = 10 + 7x + x2

Solving for variable 'x'.

Combine like terms: 130 + -10 = 120
120 + -7x + -1x2 = 10 + 7x + x2 + -10 + -7x + -1x2

Reorder the terms:
120 + -7x + -1x2 = 10 + -10 + 7x + -7x + x2 + -1x2

Combine like terms: 10 + -10 = 0
120 + -7x + -1x2 = 0 + 7x + -7x + x2 + -1x2
120 + -7x + -1x2 = 7x + -7x + x2 + -1x2

Combine like terms: 7x + -7x = 0
120 + -7x + -1x2 = 0 + x2 + -1x2
120 + -7x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
120 + -7x + -1x2 = 0

Factor a trinomial.
(8 + -1x)(15 + x) = 0


Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

Subproblem 2
Set the factor '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 0

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

Add '-15' to each side of the equation.
15 + -15 + x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + x = 0 + -15
x = 0 + -15

Combine like terms: 0 + -15 = -15
x = -15

Simplifying
x = -15
Solution
x = {8, -15}

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