(90+5w)(88-2w)=0

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Solution for (90+5w)(88-2w)=0 equation: 


Simplifying
(90 + 5w)(88 + -2w) = 0

Multiply (90 + 5w) * (88 + -2w)
(90(88 + -2w) + 5w * (88 + -2w)) = 0
((88 * 90 + -2w * 90) + 5w * (88 + -2w)) = 0
((7920 + -180w) + 5w * (88 + -2w)) = 0
(7920 + -180w + (88 * 5w + -2w * 5w)) = 0
(7920 + -180w + (440w + -10w2)) = 0

Combine like terms: -180w + 440w = 260w
(7920 + 260w + -10w2) = 0

Solving
7920 + 260w + -10w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '10'.
10(792 + 26w + -1w2) = 0

Factor a trinomial.
10((44 + -1w)(18 + w)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(44 + -1w)' equal to zero and attempt to solve:

Simplifying
44 + -1w = 0

Solving
44 + -1w = 0

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

Add '-44' to each side of the equation.
44 + -44 + -1w = 0 + -44

Combine like terms: 44 + -44 = 0
0 + -1w = 0 + -44
-1w = 0 + -44

Combine like terms: 0 + -44 = -44
-1w = -44

Divide each side by '-1'.
w = 44

Simplifying
w = 44

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

Simplifying
18 + w = 0

Solving
18 + w = 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 + w = 0 + -18

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

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

Simplifying
w = -18
Solution
w = {44, -18}

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