15x^2-84x=36

Solution for 15x^2-84x=36 equation:

Simplifying
15x2 + -84x = 36

Reorder the terms:
-84x + 15x2 = 36

Solving
-84x + 15x2 = 36

Solving for variable 'x'.

Reorder the terms:
-36 + -84x + 15x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + -84x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + -28x + 5x2) = 0

Factor a trinomial.
3((-2 + -5x)(6 + -1x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve:

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 0 + 2
-5x = 0 + 2

Combine like terms: 0 + 2 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-0.4, 6}