3(x+9)(x-7)=0

Solution for 3(x+9)(x-7)=0 equation:

Simplifying
3(x + 9)(x + -7) = 0

Reorder the terms:
3(9 + x)(x + -7) = 0

Reorder the terms:
3(9 + x)(-7 + x) = 0

Multiply (9 + x) * (-7 + x)
3(9(-7 + x) + x(-7 + x)) = 0
3((-7 * 9 + x * 9) + x(-7 + x)) = 0
3((-63 + 9x) + x(-7 + x)) = 0
3(-63 + 9x + (-7 * x + x * x)) = 0
3(-63 + 9x + (-7x + x2)) = 0

Combine like terms: 9x + -7x = 2x
3(-63 + 2x + x2) = 0
(-63 * 3 + 2x * 3 + x2 * 3) = 0
(-189 + 6x + 3x2) = 0

Solving
-189 + 6x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-63 + 2x + x2) = 0

Factor a trinomial.
3((-9 + -1x)(7 + -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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-9, 7}