336x+69120=x^2

Solution for 336x+69120=x^2 equation:

Simplifying
336x + 69120 = x2

Reorder the terms:
69120 + 336x = x2

Solving
69120 + 336x = x2

Solving for variable 'x'.

Combine like terms: x2 + -1x2 = 0
69120 + 336x + -1x2 = 0

Factor a trinomial.
(480 + -1x)(144 + x) = 0

Subproblem 1
Set the factor '(480 + -1x)' equal to zero and attempt to solve:

Simplifying
480 + -1x = 0

Solving
480 + -1x = 0

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

Add '-480' to each side of the equation.
480 + -480 + -1x = 0 + -480

Combine like terms: 480 + -480 = 0
0 + -1x = 0 + -480
-1x = 0 + -480

Combine like terms: 0 + -480 = -480
-1x = -480

Divide each side by '-1'.
x = 480

Simplifying
x = 480
Subproblem 2
Set the factor '(144 + x)' equal to zero and attempt to solve:

Simplifying
144 + x = 0

Solving
144 + x = 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 + x = 0 + -144

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

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

Simplifying
x = -144
Solution
x = {480, -144}