0=x^2-5x-36

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


Simplifying
0 = x2 + -5x + -36

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

Solving
0 = -36 + -5x + x2

Solving for variable 'x'.

Combine like terms: 0 + 36 = 36
36 + 5x + -1x2 = -36 + -5x + x2 + 36 + 5x + -1x2

Reorder the terms:
36 + 5x + -1x2 = -36 + 36 + -5x + 5x + x2 + -1x2

Combine like terms: -36 + 36 = 0
36 + 5x + -1x2 = 0 + -5x + 5x + x2 + -1x2
36 + 5x + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
36 + 5x + -1x2 = 0 + x2 + -1x2
36 + 5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + 5x + -1x2 = 0

Factor a trinomial.
(9 + -1x)(4 + 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {9, -4}

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