0=5x+x^2-36-90

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Solution for 0=5x+x^2-36-90 equation: 


Simplifying
0 = 5x + x2 + -36 + -90

Reorder the terms:
0 = -36 + -90 + 5x + x2

Combine like terms: -36 + -90 = -126
0 = -126 + 5x + x2

Solving
0 = -126 + 5x + x2

Solving for variable 'x'.

Combine like terms: 0 + 126 = 126
126 + -5x + -1x2 = -126 + 5x + x2 + 126 + -5x + -1x2

Reorder the terms:
126 + -5x + -1x2 = -126 + 126 + 5x + -5x + x2 + -1x2

Combine like terms: -126 + 126 = 0
126 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2
126 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
126 + -5x + -1x2 = 0 + x2 + -1x2
126 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
126 + -5x + -1x2 = 0

Factor a trinomial.
(9 + -1x)(14 + x) = 0


Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Solution
x = {9, -14}

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