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Simplifying -8x6(7w3 + -2w2 + -5w) = 0 Reorder the terms: -8x6(-5w + -2w2 + 7w3) = 0 (-5w * -8x6 + -2w2 * -8x6 + 7w3 * -8x6) = 0 (40wx6 + 16w2x6 + -56w3x6) = 0 Solving 40wx6 + 16w2x6 + -56w3x6 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '8wx6'. 8wx6(5 + 2w + -7w2) = 0 Factor a trinomial. 8wx6((1 + -1w)(5 + 7w)) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'wx6' equal to zero and attempt to solve: Simplifying wx6 = 0 Solving wx6 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying wx6 = 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 '(1 + -1w)' equal to zero and attempt to solve: Simplifying 1 + -1w = 0 Solving 1 + -1w = 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 + -1w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = 0 + -1 -1w = 0 + -1 Combine like terms: 0 + -1 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1Subproblem 3
Set the factor '(5 + 7w)' equal to zero and attempt to solve: Simplifying 5 + 7w = 0 Solving 5 + 7w = 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 + 7w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7w = 0 + -5 7w = 0 + -5 Combine like terms: 0 + -5 = -5 7w = -5 Divide each side by '7'. w = -0.7142857143 Simplifying w = -0.7142857143Solution
w = {1, -0.7142857143}
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