-2w^2-w+15=0

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Solution for -2w^2-w+15=0 equation:


Simplifying
-2w2 + -1w + 15 = 0

Reorder the terms:
15 + -1w + -2w2 = 0

Solving
15 + -1w + -2w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(5 + -2w)(3 + w) = 0

Subproblem 1

Set the factor '(5 + -2w)' equal to zero and attempt to solve: Simplifying 5 + -2w = 0 Solving 5 + -2w = 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 + -2w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2w = 0 + -5 -2w = 0 + -5 Combine like terms: 0 + -5 = -5 -2w = -5 Divide each side by '-2'. w = 2.5 Simplifying w = 2.5

Subproblem 2

Set the factor '(3 + w)' equal to zero and attempt to solve: Simplifying 3 + w = 0 Solving 3 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + w = 0 + -3 w = 0 + -3 Combine like terms: 0 + -3 = -3 w = -3 Simplifying w = -3

Solution

w = {2.5, -3}

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