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

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


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

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

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

Multiply (-5 + x) * (18 + 3x)
(-5(18 + 3x) + x(18 + 3x)) = 0
((18 * -5 + 3x * -5) + x(18 + 3x)) = 0
((-90 + -15x) + x(18 + 3x)) = 0
(-90 + -15x + (18 * x + 3x * x)) = 0
(-90 + -15x + (18x + 3x2)) = 0

Combine like terms: -15x + 18x = 3x
(-90 + 3x + 3x2) = 0

Solving
-90 + 3x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-30 + x + x2) = 0

Factor a trinomial.
3((-6 + -1x)(5 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
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

Subproblem 2
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
Solution
x = {-6, 5}

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