18x^2+13x=5

Solution for 18x^2+13x=5 equation:

Simplifying
18x2 + 13x = 5

Reorder the terms:
13x + 18x2 = 5

Solving
13x + 18x2 = 5

Solving for variable 'x'.

Reorder the terms:
-5 + 13x + 18x2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 13x + 18x2 = 0

Factor a trinomial.
(-1 + -1x)(5 + -18x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + -18x)' equal to zero and attempt to solve:

Simplifying
5 + -18x = 0

Solving
5 + -18x = 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 + -18x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -18x = 0 + -5
-18x = 0 + -5

Combine like terms: 0 + -5 = -5
-18x = -5

Divide each side by '-18'.
x = 0.2777777778

Simplifying
x = 0.2777777778
Solution
x = {-1, 0.2777777778}