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Simplifying (6w + -5) + -1(3w2 + -1w + -5) = 0 Reorder the terms: (-5 + 6w) + -1(3w2 + -1w + -5) = 0 Remove parenthesis around (-5 + 6w) -5 + 6w + -1(3w2 + -1w + -5) = 0 Reorder the terms: -5 + 6w + -1(-5 + -1w + 3w2) = 0 -5 + 6w + (-5 * -1 + -1w * -1 + 3w2 * -1) = 0 -5 + 6w + (5 + 1w + -3w2) = 0 Reorder the terms: -5 + 5 + 6w + 1w + -3w2 = 0 Combine like terms: -5 + 5 = 0 0 + 6w + 1w + -3w2 = 0 6w + 1w + -3w2 = 0 Combine like terms: 6w + 1w = 7w 7w + -3w2 = 0 Solving 7w + -3w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(7 + -3w) = 0Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 2
Set the factor '(7 + -3w)' equal to zero and attempt to solve: Simplifying 7 + -3w = 0 Solving 7 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3w = 0 + -7 -3w = 0 + -7 Combine like terms: 0 + -7 = -7 -3w = -7 Divide each side by '-3'. w = 2.333333333 Simplifying w = 2.333333333Solution
w = {0, 2.333333333}
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