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Simplifying 21w2 + -17w + -4 = 6w2 Reorder the terms: -4 + -17w + 21w2 = 6w2 Solving -4 + -17w + 21w2 = 6w2 Solving for variable 'w'. Combine like terms: 21w2 + -6w2 = 15w2 -4 + -17w + 15w2 = 6w2 + -6w2 Combine like terms: 6w2 + -6w2 = 0 -4 + -17w + 15w2 = 0 Factor a trinomial. (-1 + -5w)(4 + -3w) = 0Subproblem 1
Set the factor '(-1 + -5w)' equal to zero and attempt to solve: Simplifying -1 + -5w = 0 Solving -1 + -5w = 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 + -5w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5w = 0 + 1 -5w = 0 + 1 Combine like terms: 0 + 1 = 1 -5w = 1 Divide each side by '-5'. w = -0.2 Simplifying w = -0.2Subproblem 2
Set the factor '(4 + -3w)' equal to zero and attempt to solve: Simplifying 4 + -3w = 0 Solving 4 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3w = 0 + -4 -3w = 0 + -4 Combine like terms: 0 + -4 = -4 -3w = -4 Divide each side by '-3'. w = 1.333333333 Simplifying w = 1.333333333Solution
w = {-0.2, 1.333333333}
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