0=x^2+33x-540

Solution for 0=x^2+33x-540 equation:

Simplifying
0 = x2 + 33x + -540

Reorder the terms:
0 = -540 + 33x + x2

Solving
0 = -540 + 33x + x2

Solving for variable 'x'.

Combine like terms: 0 + 540 = 540
540 + -33x + -1x2 = -540 + 33x + x2 + 540 + -33x + -1x2

Reorder the terms:
540 + -33x + -1x2 = -540 + 540 + 33x + -33x + x2 + -1x2

Combine like terms: -540 + 540 = 0
540 + -33x + -1x2 = 0 + 33x + -33x + x2 + -1x2
540 + -33x + -1x2 = 33x + -33x + x2 + -1x2

Combine like terms: 33x + -33x = 0
540 + -33x + -1x2 = 0 + x2 + -1x2
540 + -33x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
540 + -33x + -1x2 = 0

Factor a trinomial.
(12 + -1x)(45 + x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(45 + x)' equal to zero and attempt to solve:

Simplifying
45 + x = 0

Solving
45 + x = 0

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

Add '-45' to each side of the equation.
45 + -45 + x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + x = 0 + -45
x = 0 + -45

Combine like terms: 0 + -45 = -45
x = -45

Simplifying
x = -45
Solution
x = {12, -45}