7x^2-492x+4320=0

Solution for 7x^2-492x+4320=0 equation:

Simplifying
7x2 + -492x + 4320 = 0

Reorder the terms:
4320 + -492x + 7x2 = 0

Solving
4320 + -492x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(72 + -7x)(60 + -1x) = 0

Subproblem 1
Set the factor '(72 + -7x)' equal to zero and attempt to solve:

Simplifying
72 + -7x = 0

Solving
72 + -7x = 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 + -7x = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -7x = 0 + -72
-7x = 0 + -72

Combine like terms: 0 + -72 = -72
-7x = -72

Divide each side by '-7'.
x = 10.28571429

Simplifying
x = 10.28571429
Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve:

Simplifying
60 + -1x = 0

Solving
60 + -1x = 0

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

Add '-60' to each side of the equation.
60 + -60 + -1x = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -1x = 0 + -60
-1x = 0 + -60

Combine like terms: 0 + -60 = -60
-1x = -60

Divide each side by '-1'.
x = 60

Simplifying
x = 60
Solution
x = {10.28571429, 60}