x^2+10x+(5x+36)=360

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Solution for x^2+10x+(5x+36)=360 equation:


Simplifying
x2 + 10x + (5x + 36) = 360

Reorder the terms:
x2 + 10x + (36 + 5x) = 360

Remove parenthesis around (36 + 5x)
x2 + 10x + 36 + 5x = 360

Reorder the terms:
36 + 10x + 5x + x2 = 360

Combine like terms: 10x + 5x = 15x
36 + 15x + x2 = 360

Solving
36 + 15x + x2 = 360

Solving for variable 'x'.

Reorder the terms:
36 + -360 + 15x + x2 = 360 + -360

Combine like terms: 36 + -360 = -324
-324 + 15x + x2 = 360 + -360

Combine like terms: 360 + -360 = 0
-324 + 15x + x2 = 0

Factor a trinomial.
(-27 + -1x)(12 + -1x) = 0

Subproblem 1

Set the factor '(-27 + -1x)' equal to zero and attempt to solve: Simplifying -27 + -1x = 0 Solving -27 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -1x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -1x = 0 + 27 -1x = 0 + 27 Combine like terms: 0 + 27 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {-27, 12}

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