9x^2-52x+64=0

Solution for 9x^2-52x+64=0 equation:

Simplifying
9x2 + -52x + 64 = 0

Reorder the terms:
64 + -52x + 9x2 = 0

Solving
64 + -52x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(16 + -9x)(4 + -1x) = 0

Subproblem 1
Set the factor '(16 + -9x)' equal to zero and attempt to solve:

Simplifying
16 + -9x = 0

Solving
16 + -9x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -9x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -9x = 0 + -16
-9x = 0 + -16

Combine like terms: 0 + -16 = -16
-9x = -16

Divide each side by '-9'.
x = 1.777777778

Simplifying
x = 1.777777778
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {1.777777778, 4}