8x^2+9x=-1

Solution for 8x^2+9x=-1 equation:

Simplifying
8x2 + 9x = -1

Reorder the terms:
9x + 8x2 = -1

Solving
9x + 8x2 = -1

Solving for variable 'x'.

Reorder the terms:
1 + 9x + 8x2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + 9x + 8x2 = 0

Factor a trinomial.
(1 + x)(1 + 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 '(1 + 8x)' equal to zero and attempt to solve:

Simplifying
1 + 8x = 0

Solving
1 + 8x = 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 + 8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 0 + -1
8x = 0 + -1

Combine like terms: 0 + -1 = -1
8x = -1

Divide each side by '8'.
x = -0.125

Simplifying
x = -0.125
Solution
x = {-1, -0.125}