8x^2+45x=-25

Solution for 8x^2+45x=-25 equation:

Simplifying
8x2 + 45x = -25

Reorder the terms:
45x + 8x2 = -25

Solving
45x + 8x2 = -25

Solving for variable 'x'.

Reorder the terms:
25 + 45x + 8x2 = -25 + 25

Combine like terms: -25 + 25 = 0
25 + 45x + 8x2 = 0

Factor a trinomial.
(5 + x)(5 + 8x) = 0

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

Simplifying
5 + x = 0

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

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

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

Simplifying
x = -5
Subproblem 2
Set the factor '(5 + 8x)' equal to zero and attempt to solve:

Simplifying
5 + 8x = 0

Solving
5 + 8x = 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 + 8x = 0 + -5

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

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

Divide each side by '8'.
x = -0.625

Simplifying
x = -0.625
Solution
x = {-5, -0.625}