0=9x^2-62x-80

Solution for 0=9x^2-62x-80 equation:

Simplifying
0 = 9x2 + -62x + -80

Reorder the terms:
0 = -80 + -62x + 9x2

Solving
0 = -80 + -62x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + 80 = 80
80 + 62x + -9x2 = -80 + -62x + 9x2 + 80 + 62x + -9x2

Reorder the terms:
80 + 62x + -9x2 = -80 + 80 + -62x + 62x + 9x2 + -9x2

Combine like terms: -80 + 80 = 0
80 + 62x + -9x2 = 0 + -62x + 62x + 9x2 + -9x2
80 + 62x + -9x2 = -62x + 62x + 9x2 + -9x2

Combine like terms: -62x + 62x = 0
80 + 62x + -9x2 = 0 + 9x2 + -9x2
80 + 62x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
80 + 62x + -9x2 = 0

Factor a trinomial.
(8 + -1x)(10 + 9x) = 0

Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Subproblem 2
Set the factor '(10 + 9x)' equal to zero and attempt to solve:

Simplifying
10 + 9x = 0

Solving
10 + 9x = 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 + 9x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 0 + -10
9x = 0 + -10

Combine like terms: 0 + -10 = -10
9x = -10

Divide each side by '9'.
x = -1.111111111

Simplifying
x = -1.111111111
Solution
x = {8, -1.111111111}