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Simplifying 10w10 + -19w9 + 6w8 = 0 Reorder the terms: 6w8 + -19w9 + 10w10 = 0 Solving 6w8 + -19w9 + 10w10 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w8'. w8(6 + -19w + 10w2) = 0 Factor a trinomial. w8((2 + -5w)(3 + -2w)) = 0Subproblem 1
Set the factor 'w8' equal to zero and attempt to solve: Simplifying w8 = 0 Solving w8 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w8 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + -5w)' equal to zero and attempt to solve: Simplifying 2 + -5w = 0 Solving 2 + -5w = 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 + -5w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5w = 0 + -2 -5w = 0 + -2 Combine like terms: 0 + -2 = -2 -5w = -2 Divide each side by '-5'. w = 0.4 Simplifying w = 0.4Subproblem 3
Set the factor '(3 + -2w)' equal to zero and attempt to solve: Simplifying 3 + -2w = 0 Solving 3 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2w = 0 + -3 -2w = 0 + -3 Combine like terms: 0 + -3 = -3 -2w = -3 Divide each side by '-2'. w = 1.5 Simplifying w = 1.5Solution
w = {0.4, 1.5}
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