-9x^2+148x-564=0

Solution for -9x^2+148x-564=0 equation:

Simplifying
-9x2 + 148x + -564 = 0

Reorder the terms:
-564 + 148x + -9x2 = 0

Solving
-564 + 148x + -9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-94 + 9x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-94 + 9x)' equal to zero and attempt to solve:

Simplifying
-94 + 9x = 0

Solving
-94 + 9x = 0

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

Add '94' to each side of the equation.
-94 + 94 + 9x = 0 + 94

Combine like terms: -94 + 94 = 0
0 + 9x = 0 + 94
9x = 0 + 94

Combine like terms: 0 + 94 = 94
9x = 94

Divide each side by '9'.
x = 10.44444444

Simplifying
x = 10.44444444
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {10.44444444, 6}