-2w(w-9)=40

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Solution for -2w(w-9)=40 equation:


Simplifying
-2w(w + -9) = 40

Reorder the terms:
-2w(-9 + w) = 40
(-9 * -2w + w * -2w) = 40
(18w + -2w2) = 40

Solving
18w + -2w2 = 40

Solving for variable 'w'.

Reorder the terms:
-40 + 18w + -2w2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 18w + -2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + 9w + -1w2) = 0

Factor a trinomial.
2((-5 + w)(4 + -1w)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + w)' equal to zero and attempt to solve: Simplifying -5 + w = 0 Solving -5 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + w = 0 + 5 w = 0 + 5 Combine like terms: 0 + 5 = 5 w = 5 Simplifying w = 5

Subproblem 2

Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4

Solution

w = {5, 4}

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