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

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


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

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

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

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

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

Solving
10 + 7x + x2 = 130

Solving for variable 'x'.

Reorder the terms:
10 + -130 + 7x + x2 = 130 + -130

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

Combine like terms: 130 + -130 = 0
-120 + 7x + x2 = 0

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


Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve:

Simplifying
-15 + -1x = 0

Solving
-15 + -1x = 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 + -1x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 0 + 15
-1x = 0 + 15

Combine like terms: 0 + 15 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15

Subproblem 2
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
Solution
x = {-15, 8}

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