600=8x^2+80x

Solution for 600=8x^2+80x equation:

Simplifying
600 = 8x2 + 80x

Reorder the terms:
600 = 80x + 8x2

Solving
600 = 80x + 8x2

Solving for variable 'x'.

Reorder the terms:
600 + -80x + -8x2 = 80x + -80x + 8x2 + -8x2

Combine like terms: 80x + -80x = 0
600 + -80x + -8x2 = 0 + 8x2 + -8x2
600 + -80x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
600 + -80x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(75 + -10x + -1x2) = 0

Factor a trinomial.
8((5 + -1x)(15 + x)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Subproblem 2
Set the factor '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 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 + x = 0 + -15

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

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

Simplifying
x = -15
Solution
x = {5, -15}