5(3x-18)(x+2)=0

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Solution for 5(3x-18)(x+2)=0 equation: 


Simplifying
5(3x + -18)(x + 2) = 0

Reorder the terms:
5(-18 + 3x)(x + 2) = 0

Reorder the terms:
5(-18 + 3x)(2 + x) = 0

Multiply (-18 + 3x) * (2 + x)
5(-18(2 + x) + 3x * (2 + x)) = 0
5((2 * -18 + x * -18) + 3x * (2 + x)) = 0
5((-36 + -18x) + 3x * (2 + x)) = 0
5(-36 + -18x + (2 * 3x + x * 3x)) = 0
5(-36 + -18x + (6x + 3x2)) = 0

Combine like terms: -18x + 6x = -12x
5(-36 + -12x + 3x2) = 0
(-36 * 5 + -12x * 5 + 3x2 * 5) = 0
(-180 + -60x + 15x2) = 0

Solving
-180 + -60x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '15'.
15(-12 + -4x + x2) = 0

Factor a trinomial.
15((-2 + -1x)(6 + -1x)) = 0

Ignore the factor 15.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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 = {-2, 6}

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