-3(x-9)(x+6)=

Solution for -3(x-9)(x+6)= equation:

Simplifying
-3(x + -9)(x + 6) = 0

Reorder the terms:
-3(-9 + x)(x + 6) = 0

Reorder the terms:
-3(-9 + x)(6 + x) = 0

Multiply (-9 + x) * (6 + x)
-3(-9(6 + x) + x(6 + x)) = 0
-3((6 * -9 + x * -9) + x(6 + x)) = 0
-3((-54 + -9x) + x(6 + x)) = 0
-3(-54 + -9x + (6 * x + x * x)) = 0
-3(-54 + -9x + (6x + x2)) = 0

Combine like terms: -9x + 6x = -3x
-3(-54 + -3x + x2) = 0
(-54 * -3 + -3x * -3 + x2 * -3) = 0
(162 + 9x + -3x2) = 0

Solving
162 + 9x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(54 + 3x + -1x2) = 0

Factor a trinomial.
3((9 + -1x)(6 + x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
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 = {9, -6}