(x)(x+17)(x+18)=0

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Solution for (x)(x+17)(x+18)=0 equation: 


Simplifying
(x)(x + 17)(x + 18) = 0

Reorder the terms:
x(17 + x)(x + 18) = 0

Reorder the terms:
x(17 + x)(18 + x) = 0

Multiply (17 + x) * (18 + x)
x(17(18 + x) + x(18 + x)) = 0
x((18 * 17 + x * 17) + x(18 + x)) = 0
x((306 + 17x) + x(18 + x)) = 0
x(306 + 17x + (18 * x + x * x)) = 0
x(306 + 17x + (18x + x2)) = 0

Combine like terms: 17x + 18x = 35x
x(306 + 35x + x2) = 0
(306 * x + 35x * x + x2 * x) = 0
(306x + 35x2 + x3) = 0

Solving
306x + 35x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(306 + 35x + x2) = 0

Factor a trinomial.
x((18 + x)(17 + x)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(18 + x)' equal to zero and attempt to solve:

Simplifying
18 + x = 0

Solving
18 + x = 0

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

Add '-18' to each side of the equation.
18 + -18 + x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + x = 0 + -18
x = 0 + -18

Combine like terms: 0 + -18 = -18
x = -18

Simplifying
x = -18

Subproblem 3
Set the factor '(17 + x)' equal to zero and attempt to solve:

Simplifying
17 + x = 0

Solving
17 + x = 0

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

Add '-17' to each side of the equation.
17 + -17 + x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + x = 0 + -17
x = 0 + -17

Combine like terms: 0 + -17 = -17
x = -17

Simplifying
x = -17
Solution
x = {0, -18, -17}

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