9x^2+16x=0

Solution for 9x^2+16x=0 equation:

Simplifying
9x2 + 16x = 0

Reorder the terms:
16x + 9x2 = 0

Solving
16x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(16 + 9x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(16 + 9x)' equal to zero and attempt to solve:

Simplifying
16 + 9x = 0

Solving
16 + 9x = 0

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

Add '-16' to each side of the equation.
16 + -16 + 9x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 9x = 0 + -16
9x = 0 + -16

Combine like terms: 0 + -16 = -16
9x = -16

Divide each side by '9'.
x = -1.777777778

Simplifying
x = -1.777777778
Solution
x = {0, -1.777777778}