72x^2-17x-7=-8

Solution for 72x^2-17x-7=-8 equation:

Simplifying
72x2 + -17x + -7 = -8

Reorder the terms:
-7 + -17x + 72x2 = -8

Solving
-7 + -17x + 72x2 = -8

Solving for variable 'x'.

Reorder the terms:
-7 + 8 + -17x + 72x2 = -8 + 8

Combine like terms: -7 + 8 = 1
1 + -17x + 72x2 = -8 + 8

Combine like terms: -8 + 8 = 0
1 + -17x + 72x2 = 0

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

Subproblem 1
Set the factor '(1 + -9x)' equal to zero and attempt to solve:

Simplifying
1 + -9x = 0

Solving
1 + -9x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -9x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = 0 + -1
-9x = 0 + -1

Combine like terms: 0 + -1 = -1
-9x = -1

Divide each side by '-9'.
x = 0.1111111111

Simplifying
x = 0.1111111111
Subproblem 2
Set the factor '(1 + -8x)' equal to zero and attempt to solve:

Simplifying
1 + -8x = 0

Solving
1 + -8x = 0

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

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

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

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

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125
Solution
x = {0.1111111111, 0.125}