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Simplifying 4w2 + -3w + -10 = 0 Reorder the terms: -10 + -3w + 4w2 = 0 Solving -10 + -3w + 4w2 = 0 Solving for variable 'w'. Factor a trinomial. (-5 + -4w)(2 + -1w) = 0Subproblem 1
Set the factor '(-5 + -4w)' equal to zero and attempt to solve: Simplifying -5 + -4w = 0 Solving -5 + -4w = 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 + -4w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4w = 0 + 5 -4w = 0 + 5 Combine like terms: 0 + 5 = 5 -4w = 5 Divide each side by '-4'. w = -1.25 Simplifying w = -1.25Subproblem 2
Set the factor '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Solution
w = {-1.25, 2}
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