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Simplifying -4w2 + 12w + -5 = 0 Reorder the terms: -5 + 12w + -4w2 = 0 Solving -5 + 12w + -4w2 = 0 Solving for variable 'w'. Factor a trinomial. (-5 + 2w)(1 + -2w) = 0Subproblem 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 = 2.5Subproblem 2
Set the factor '(1 + -2w)' equal to zero and attempt to solve: Simplifying 1 + -2w = 0 Solving 1 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2w = 0 + -1 -2w = 0 + -1 Combine like terms: 0 + -1 = -1 -2w = -1 Divide each side by '-2'. w = 0.5 Simplifying w = 0.5Solution
w = {2.5, 0.5}
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