6(x+5)(5x-30)=0

Solution for 6(x+5)(5x-30)=0 equation:

Simplifying
6(x + 5)(5x + -30) = 0

Reorder the terms:
6(5 + x)(5x + -30) = 0

Reorder the terms:
6(5 + x)(-30 + 5x) = 0

Multiply (5 + x) * (-30 + 5x)
6(5(-30 + 5x) + x(-30 + 5x)) = 0
6((-30 * 5 + 5x * 5) + x(-30 + 5x)) = 0
6((-150 + 25x) + x(-30 + 5x)) = 0
6(-150 + 25x + (-30 * x + 5x * x)) = 0
6(-150 + 25x + (-30x + 5x2)) = 0

Combine like terms: 25x + -30x = -5x
6(-150 + -5x + 5x2) = 0
(-150 * 6 + -5x * 6 + 5x2 * 6) = 0
(-900 + -30x + 30x2) = 0

Solving
-900 + -30x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '30'.
30(-30 + -1x + x2) = 0

Factor a trinomial.
30((-5 + -1x)(6 + -1x)) = 0

Ignore the factor 30.
Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-5, 6}