3x(2x+15)=9x

Solution for 3x(2x+15)=9x equation:

Simplifying
3x(2x + 15) = 9x

Reorder the terms:
3x(15 + 2x) = 9x
(15 * 3x + 2x * 3x) = 9x
(45x + 6x2) = 9x

Solving
45x + 6x2 = 9x

Solving for variable 'x'.

Reorder the terms:
45x + -9x + 6x2 = 9x + -9x

Combine like terms: 45x + -9x = 36x
36x + 6x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
36x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6x'.
6x(6 + x) = 0

Ignore the factor 6.
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 '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {0, -6}