5x^2+9x=-4

Solution for 5x^2+9x=-4 equation:

Simplifying
5x2 + 9x = -4

Reorder the terms:
9x + 5x2 = -4

Solving
9x + 5x2 = -4

Solving for variable 'x'.

Reorder the terms:
4 + 9x + 5x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 9x + 5x2 = 0

Factor a trinomial.
(1 + x)(4 + 5x) = 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 '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Solution
x = {-1, -0.8}