3(x+9)(x-16)=

Solution for 3(x+9)(x-16)= equation:

Simplifying
3(x + 9)(x + -16) = 0

Reorder the terms:
3(9 + x)(x + -16) = 0

Reorder the terms:
3(9 + x)(-16 + x) = 0

Multiply (9 + x) * (-16 + x)
3(9(-16 + x) + x(-16 + x)) = 0
3((-16 * 9 + x * 9) + x(-16 + x)) = 0
3((-144 + 9x) + x(-16 + x)) = 0
3(-144 + 9x + (-16 * x + x * x)) = 0
3(-144 + 9x + (-16x + x2)) = 0

Combine like terms: 9x + -16x = -7x
3(-144 + -7x + x2) = 0
(-144 * 3 + -7x * 3 + x2 * 3) = 0
(-432 + -21x + 3x2) = 0

Solving
-432 + -21x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-144 + -7x + x2) = 0

Factor a trinomial.
3((-9 + -1x)(16 + -1x)) = 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 '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 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 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {-9, 16}