10x^2-156x+576=0

Solution for 10x^2-156x+576=0 equation:

Simplifying
10x2 + -156x + 576 = 0

Reorder the terms:
576 + -156x + 10x2 = 0

Solving
576 + -156x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(288 + -78x + 5x2) = 0

Factor a trinomial.
2((6 + -1x)(48 + -5x)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(48 + -5x)' equal to zero and attempt to solve:

Simplifying
48 + -5x = 0

Solving
48 + -5x = 0

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

Add '-48' to each side of the equation.
48 + -48 + -5x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -5x = 0 + -48
-5x = 0 + -48

Combine like terms: 0 + -48 = -48
-5x = -48

Divide each side by '-5'.
x = 9.6

Simplifying
x = 9.6
Solution
x = {6, 9.6}