5x^2-102x+432=0

Solution for 5x^2-102x+432=0 equation:

Simplifying
5x2 + -102x + 432 = 0

Reorder the terms:
432 + -102x + 5x2 = 0

Solving
432 + -102x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + -1x)(72 + -5x) = 0

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 '(72 + -5x)' equal to zero and attempt to solve:

Simplifying
72 + -5x = 0

Solving
72 + -5x = 0

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

Add '-72' to each side of the equation.
72 + -72 + -5x = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -5x = 0 + -72
-5x = 0 + -72

Combine like terms: 0 + -72 = -72
-5x = -72

Divide each side by '-5'.
x = 14.4

Simplifying
x = 14.4
Solution
x = {6, 14.4}