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Simplifying (6w + -4) + -1(7w2 + -1w + -4) = 0 Reorder the terms: (-4 + 6w) + -1(7w2 + -1w + -4) = 0 Remove parenthesis around (-4 + 6w) -4 + 6w + -1(7w2 + -1w + -4) = 0 Reorder the terms: -4 + 6w + -1(-4 + -1w + 7w2) = 0 -4 + 6w + (-4 * -1 + -1w * -1 + 7w2 * -1) = 0 -4 + 6w + (4 + 1w + -7w2) = 0 Reorder the terms: -4 + 4 + 6w + 1w + -7w2 = 0 Combine like terms: -4 + 4 = 0 0 + 6w + 1w + -7w2 = 0 6w + 1w + -7w2 = 0 Combine like terms: 6w + 1w = 7w 7w + -7w2 = 0 Solving 7w + -7w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '7w'. 7w(1 + -1w) = 0 Ignore the factor 7.Subproblem 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 '(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 = 1Solution
w = {0, 1}
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