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Simplifying 2w2 + 3w + -26 + -1w2 + -2w + -4 = 0 Reorder the terms: -26 + -4 + 3w + -2w + 2w2 + -1w2 = 0 Combine like terms: -26 + -4 = -30 -30 + 3w + -2w + 2w2 + -1w2 = 0 Combine like terms: 3w + -2w = 1w -30 + 1w + 2w2 + -1w2 = 0 Combine like terms: 2w2 + -1w2 = 1w2 -30 + 1w + 1w2 = 0 Solving -30 + 1w + 1w2 = 0 Solving for variable 'w'. Factor a trinomial. (-6 + -1w)(5 + -1w) = 0Subproblem 1
Set the factor '(-6 + -1w)' equal to zero and attempt to solve: Simplifying -6 + -1w = 0 Solving -6 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1w = 0 + 6 -1w = 0 + 6 Combine like terms: 0 + 6 = 6 -1w = 6 Divide each side by '-1'. w = -6 Simplifying w = -6Subproblem 2
Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 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 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5Solution
w = {-6, 5}
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