0=x^2+62x-720

Solution for 0=x^2+62x-720 equation:

Simplifying
0 = x2 + 62x + -720

Reorder the terms:
0 = -720 + 62x + x2

Solving
0 = -720 + 62x + x2

Solving for variable 'x'.

Combine like terms: 0 + 720 = 720
720 + -62x + -1x2 = -720 + 62x + x2 + 720 + -62x + -1x2

Reorder the terms:
720 + -62x + -1x2 = -720 + 720 + 62x + -62x + x2 + -1x2

Combine like terms: -720 + 720 = 0
720 + -62x + -1x2 = 0 + 62x + -62x + x2 + -1x2
720 + -62x + -1x2 = 62x + -62x + x2 + -1x2

Combine like terms: 62x + -62x = 0
720 + -62x + -1x2 = 0 + x2 + -1x2
720 + -62x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
720 + -62x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(72 + x) = 0

Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Subproblem 2
Set the factor '(72 + x)' equal to zero and attempt to solve:

Simplifying
72 + x = 0

Solving
72 + x = 0

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

Add '-72' to each side of the equation.
72 + -72 + x = 0 + -72

Combine like terms: 72 + -72 = 0
0 + x = 0 + -72
x = 0 + -72

Combine like terms: 0 + -72 = -72
x = -72

Simplifying
x = -72
Solution
x = {10, -72}