9(x^2)=3(-5x-2)

Solution for 9(x^2)=3(-5x-2) equation:

Simplifying
9(x2) = 3(-5x + -2)

Reorder the terms:
9x2 = 3(-2 + -5x)
9x2 = (-2 * 3 + -5x * 3)
9x2 = (-6 + -15x)

Solving
9x2 = -6 + -15x

Solving for variable 'x'.

Reorder the terms:
6 + 15x + 9x2 = -6 + -15x + 6 + 15x

Reorder the terms:
6 + 15x + 9x2 = -6 + 6 + -15x + 15x

Combine like terms: -6 + 6 = 0
6 + 15x + 9x2 = 0 + -15x + 15x
6 + 15x + 9x2 = -15x + 15x

Combine like terms: -15x + 15x = 0
6 + 15x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + 5x + 3x2) = 0

Factor a trinomial.
3((1 + x)(2 + 3x)) = 0

Ignore the factor 3.
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 '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-1, -0.6666666667}