5x^2+31x-36=0

Solution for 5x^2+31x-36=0 equation:

Simplifying
5x2 + 31x + -36 = 0

Reorder the terms:
-36 + 31x + 5x2 = 0

Solving
-36 + 31x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-36 + -5x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-36 + -5x)' equal to zero and attempt to solve:

Simplifying
-36 + -5x = 0

Solving
-36 + -5x = 0

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

Add '36' to each side of the equation.
-36 + 36 + -5x = 0 + 36

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

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

Divide each side by '-5'.
x = -7.2

Simplifying
x = -7.2
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-7.2, 1}