8x+5=36x^2

Solution for 8x+5=36x^2 equation:

Simplifying
8x + 5 = 36x2

Reorder the terms:
5 + 8x = 36x2

Solving
5 + 8x = 36x2

Solving for variable 'x'.

Combine like terms: 36x2 + -36x2 = 0
5 + 8x + -36x2 = 0

Factor a trinomial.
(1 + -2x)(5 + 18x) = 0

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
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 = {0.5, -0.2777777778}