2x^2-318x+4320=0

Solution for 2x^2-318x+4320=0 equation:

Simplifying
2x2 + -318x + 4320 = 0

Reorder the terms:
4320 + -318x + 2x2 = 0

Solving
4320 + -318x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2160 + -159x + x2) = 0

Factor a trinomial.
2((15 + -1x)(144 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Subproblem 2
Set the factor '(144 + -1x)' equal to zero and attempt to solve:

Simplifying
144 + -1x = 0

Solving
144 + -1x = 0

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

Add '-144' to each side of the equation.
144 + -144 + -1x = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -1x = 0 + -144
-1x = 0 + -144

Combine like terms: 0 + -144 = -144
-1x = -144

Divide each side by '-1'.
x = 144

Simplifying
x = 144
Solution
x = {15, 144}