w^2+9w-682=0

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Solution for w^2+9w-682=0 equation:


Simplifying
w2 + 9w + -682 = 0

Reorder the terms:
-682 + 9w + w2 = 0

Solving
-682 + 9w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-31 + -1w)(22 + -1w) = 0

Subproblem 1

Set the factor '(-31 + -1w)' equal to zero and attempt to solve: Simplifying -31 + -1w = 0 Solving -31 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -1w = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -1w = 0 + 31 -1w = 0 + 31 Combine like terms: 0 + 31 = 31 -1w = 31 Divide each side by '-1'. w = -31 Simplifying w = -31

Subproblem 2

Set the factor '(22 + -1w)' equal to zero and attempt to solve: Simplifying 22 + -1w = 0 Solving 22 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1w = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1w = 0 + -22 -1w = 0 + -22 Combine like terms: 0 + -22 = -22 -1w = -22 Divide each side by '-1'. w = 22 Simplifying w = 22

Solution

w = {-31, 22}

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