5x^2=36-24x

Solution for 5x^2=36-24x equation:

Simplifying
5x2 = 36 + -24x

Solving
5x2 = 36 + -24x

Solving for variable 'x'.

Reorder the terms:
-36 + 24x + 5x2 = 36 + -24x + -36 + 24x

Reorder the terms:
-36 + 24x + 5x2 = 36 + -36 + -24x + 24x

Combine like terms: 36 + -36 = 0
-36 + 24x + 5x2 = 0 + -24x + 24x
-36 + 24x + 5x2 = -24x + 24x

Combine like terms: -24x + 24x = 0
-36 + 24x + 5x2 = 0

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

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 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 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-6, 1.2}