9x^2+14x=-5

Solution for 9x^2+14x=-5 equation:

Simplifying
9x2 + 14x = -5

Reorder the terms:
14x + 9x2 = -5

Solving
14x + 9x2 = -5

Solving for variable 'x'.

Reorder the terms:
5 + 14x + 9x2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + 14x + 9x2 = 0

Factor a trinomial.
(1 + x)(5 + 9x) = 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 '(5 + 9x)' equal to zero and attempt to solve:

Simplifying
5 + 9x = 0

Solving
5 + 9x = 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 + 9x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 9x = 0 + -5
9x = 0 + -5

Combine like terms: 0 + -5 = -5
9x = -5

Divide each side by '9'.
x = -0.5555555556

Simplifying
x = -0.5555555556
Solution
x = {-1, -0.5555555556}