10x^2+11x+8=5

Solution for 10x^2+11x+8=5 equation:

Simplifying
10x2 + 11x + 8 = 5

Reorder the terms:
8 + 11x + 10x2 = 5

Solving
8 + 11x + 10x2 = 5

Solving for variable 'x'.

Reorder the terms:
8 + -5 + 11x + 10x2 = 5 + -5

Combine like terms: 8 + -5 = 3
3 + 11x + 10x2 = 5 + -5

Combine like terms: 5 + -5 = 0
3 + 11x + 10x2 = 0

Factor a trinomial.
(3 + 5x)(1 + 2x) = 0

Subproblem 1
Set the factor '(3 + 5x)' equal to zero and attempt to solve:

Simplifying
3 + 5x = 0

Solving
3 + 5x = 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 + 5x = 0 + -3

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

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

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6
Subproblem 2
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
Solution
x = {-0.6, -0.5}