0=x^2-3x-180

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Solution for 0=x^2-3x-180 equation: 


Simplifying
0 = x2 + -3x + -180

Reorder the terms:
0 = -180 + -3x + x2

Solving
0 = -180 + -3x + x2

Solving for variable 'x'.

Combine like terms: 0 + 180 = 180
180 + 3x + -1x2 = -180 + -3x + x2 + 180 + 3x + -1x2

Reorder the terms:
180 + 3x + -1x2 = -180 + 180 + -3x + 3x + x2 + -1x2

Combine like terms: -180 + 180 = 0
180 + 3x + -1x2 = 0 + -3x + 3x + x2 + -1x2
180 + 3x + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
180 + 3x + -1x2 = 0 + x2 + -1x2
180 + 3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
180 + 3x + -1x2 = 0

Factor a trinomial.
(15 + -1x)(12 + x) = 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 '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 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 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12
Solution
x = {15, -12}

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