3=8x^2+5x

Solution for 3=8x^2+5x equation:

Simplifying
3 = 8x2 + 5x

Reorder the terms:
3 = 5x + 8x2

Solving
3 = 5x + 8x2

Solving for variable 'x'.

Reorder the terms:
3 + -5x + -8x2 = 5x + -5x + 8x2 + -8x2

Combine like terms: 5x + -5x = 0
3 + -5x + -8x2 = 0 + 8x2 + -8x2
3 + -5x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
3 + -5x + -8x2 = 0

Factor a trinomial.
(3 + -8x)(1 + x) = 0

Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve:

Simplifying
3 + -8x = 0

Solving
3 + -8x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = 0 + -3
-8x = 0 + -3

Combine like terms: 0 + -3 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {0.375, -1}