9x^2-131x+472=0

Solution for 9x^2-131x+472=0 equation:

Simplifying
9x2 + -131x + 472 = 0

Reorder the terms:
472 + -131x + 9x2 = 0

Solving
472 + -131x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(59 + -9x)(8 + -1x) = 0

Subproblem 1
Set the factor '(59 + -9x)' equal to zero and attempt to solve:

Simplifying
59 + -9x = 0

Solving
59 + -9x = 0

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

Add '-59' to each side of the equation.
59 + -59 + -9x = 0 + -59

Combine like terms: 59 + -59 = 0
0 + -9x = 0 + -59
-9x = 0 + -59

Combine like terms: 0 + -59 = -59
-9x = -59

Divide each side by '-9'.
x = 6.555555556

Simplifying
x = 6.555555556
Subproblem 2
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
Solution
x = {6.555555556, 8}