w(w+7)(w-18)=0

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Solution for w(w+7)(w-18)=0 equation: 


Simplifying
w(w + 7)(w + -18) = 0

Reorder the terms:
w(7 + w)(w + -18) = 0

Reorder the terms:
w(7 + w)(-18 + w) = 0

Multiply (7 + w) * (-18 + w)
w(7(-18 + w) + w(-18 + w)) = 0
w((-18 * 7 + w * 7) + w(-18 + w)) = 0
w((-126 + 7w) + w(-18 + w)) = 0
w(-126 + 7w + (-18 * w + w * w)) = 0
w(-126 + 7w + (-18w + w2)) = 0

Combine like terms: 7w + -18w = -11w
w(-126 + -11w + w2) = 0
(-126 * w + -11w * w + w2 * w) = 0
(-126w + -11w2 + w3) = 0

Solving
-126w + -11w2 + w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(-126 + -11w + w2) = 0

Factor a trinomial.
w((-7 + -1w)(18 + -1w)) = 0


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

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

Subproblem 2
Set the factor '(-7 + -1w)' equal to zero and attempt to solve:

Simplifying
-7 + -1w = 0

Solving
-7 + -1w = 0

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

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

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

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

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

Simplifying
w = -7

Subproblem 3
Set the factor '(18 + -1w)' equal to zero and attempt to solve:

Simplifying
18 + -1w = 0

Solving
18 + -1w = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1w = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1w = 0 + -18
-1w = 0 + -18

Combine like terms: 0 + -18 = -18
-1w = -18

Divide each side by '-1'.
w = 18

Simplifying
w = 18
Solution
w = {0, -7, 18}

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