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Simplifying 4w2 + w + -95 = 0 Reorder the terms: -95 + w + 4w2 = 0 Solving -95 + w + 4w2 = 0 Solving for variable 'w'. Factor a trinomial. (-5 + -1w)(19 + -4w) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(19 + -4w)' equal to zero and attempt to solve: Simplifying 19 + -4w = 0 Solving 19 + -4w = 0 Move all terms containing w to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -4w = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -4w = 0 + -19 -4w = 0 + -19 Combine like terms: 0 + -19 = -19 -4w = -19 Divide each side by '-4'. w = 4.75 Simplifying w = 4.75Solution
w = {-5, 4.75}
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