0=x^2+4x-540-32

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Solution for 0=x^2+4x-540-32 equation: 


Simplifying
0 = x2 + 4x + -540 + -32

Reorder the terms:
0 = -540 + -32 + 4x + x2

Combine like terms: -540 + -32 = -572
0 = -572 + 4x + x2

Solving
0 = -572 + 4x + x2

Solving for variable 'x'.

Combine like terms: 0 + 572 = 572
572 + -4x + -1x2 = -572 + 4x + x2 + 572 + -4x + -1x2

Reorder the terms:
572 + -4x + -1x2 = -572 + 572 + 4x + -4x + x2 + -1x2

Combine like terms: -572 + 572 = 0
572 + -4x + -1x2 = 0 + 4x + -4x + x2 + -1x2
572 + -4x + -1x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
572 + -4x + -1x2 = 0 + x2 + -1x2
572 + -4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
572 + -4x + -1x2 = 0

Factor a trinomial.
(22 + -1x)(26 + x) = 0


Subproblem 1
Set the factor '(22 + -1x)' equal to zero and attempt to solve:

Simplifying
22 + -1x = 0

Solving
22 + -1x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 0 + -22
-1x = 0 + -22

Combine like terms: 0 + -22 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

Subproblem 2
Set the factor '(26 + x)' equal to zero and attempt to solve:

Simplifying
26 + x = 0

Solving
26 + x = 0

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

Add '-26' to each side of the equation.
26 + -26 + x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + x = 0 + -26
x = 0 + -26

Combine like terms: 0 + -26 = -26
x = -26

Simplifying
x = -26
Solution
x = {22, -26}

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