570=6x^2+84x

Solution for 570=6x^2+84x equation:

Simplifying
570 = 6x2 + 84x

Reorder the terms:
570 = 84x + 6x2

Solving
570 = 84x + 6x2

Solving for variable 'x'.

Reorder the terms:
570 + -84x + -6x2 = 84x + -84x + 6x2 + -6x2

Combine like terms: 84x + -84x = 0
570 + -84x + -6x2 = 0 + 6x2 + -6x2
570 + -84x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
570 + -84x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(95 + -14x + -1x2) = 0

Factor a trinomial.
6((5 + -1x)(19 + x)) = 0

Ignore the factor 6.
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 '(19 + x)' equal to zero and attempt to solve:

Simplifying
19 + x = 0

Solving
19 + x = 0

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

Add '-19' to each side of the equation.
19 + -19 + x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + x = 0 + -19
x = 0 + -19

Combine like terms: 0 + -19 = -19
x = -19

Simplifying
x = -19
Solution
x = {5, -19}