88=2w^2+5w

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Solution for 88=2w^2+5w equation:


Simplifying
88 = 2w2 + 5w

Reorder the terms:
88 = 5w + 2w2

Solving
88 = 5w + 2w2

Solving for variable 'w'.

Reorder the terms:
88 + -5w + -2w2 = 5w + -5w + 2w2 + -2w2

Combine like terms: 5w + -5w = 0
88 + -5w + -2w2 = 0 + 2w2 + -2w2
88 + -5w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
88 + -5w + -2w2 = 0

Factor a trinomial.
(11 + -2w)(8 + w) = 0

Subproblem 1

Set the factor '(11 + -2w)' equal to zero and attempt to solve: Simplifying 11 + -2w = 0 Solving 11 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2w = 0 + -11 -2w = 0 + -11 Combine like terms: 0 + -11 = -11 -2w = -11 Divide each side by '-2'. w = 5.5 Simplifying w = 5.5

Subproblem 2

Set the factor '(8 + w)' equal to zero and attempt to solve: Simplifying 8 + w = 0 Solving 8 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + w = 0 + -8 w = 0 + -8 Combine like terms: 0 + -8 = -8 w = -8 Simplifying w = -8

Solution

w = {5.5, -8}

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