8x^2+15x+10=3

Solution for 8x^2+15x+10=3 equation:

Simplifying
8x2 + 15x + 10 = 3

Reorder the terms:
10 + 15x + 8x2 = 3

Solving
10 + 15x + 8x2 = 3

Solving for variable 'x'.

Reorder the terms:
10 + -3 + 15x + 8x2 = 3 + -3

Combine like terms: 10 + -3 = 7
7 + 15x + 8x2 = 3 + -3

Combine like terms: 3 + -3 = 0
7 + 15x + 8x2 = 0

Factor a trinomial.
(1 + x)(7 + 8x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(7 + 8x)' equal to zero and attempt to solve:

Simplifying
7 + 8x = 0

Solving
7 + 8x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = 0 + -7
8x = 0 + -7

Combine like terms: 0 + -7 = -7
8x = -7

Divide each side by '8'.
x = -0.875

Simplifying
x = -0.875
Solution
x = {-1, -0.875}