(x+10)(x+12)=360

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Solution for (x+10)(x+12)=360 equation: 


Simplifying
(x + 10)(x + 12) = 360

Reorder the terms:
(10 + x)(x + 12) = 360

Reorder the terms:
(10 + x)(12 + x) = 360

Multiply (10 + x) * (12 + x)
(10(12 + x) + x(12 + x)) = 360
((12 * 10 + x * 10) + x(12 + x)) = 360
((120 + 10x) + x(12 + x)) = 360
(120 + 10x + (12 * x + x * x)) = 360
(120 + 10x + (12x + x2)) = 360

Combine like terms: 10x + 12x = 22x
(120 + 22x + x2) = 360

Solving
120 + 22x + x2 = 360

Solving for variable 'x'.

Reorder the terms:
120 + -360 + 22x + x2 = 360 + -360

Combine like terms: 120 + -360 = -240
-240 + 22x + x2 = 360 + -360

Combine like terms: 360 + -360 = 0
-240 + 22x + x2 = 0

Factor a trinomial.
(-30 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve:

Simplifying
-30 + -1x = 0

Solving
-30 + -1x = 0

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

Add '30' to each side of the equation.
-30 + 30 + -1x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -1x = 0 + 30
-1x = 0 + 30

Combine like terms: 0 + 30 = 30
-1x = 30

Divide each side by '-1'.
x = -30

Simplifying
x = -30

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 = {-30, 8}

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