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Simplifying 7w(4w + 3) = 0 Reorder the terms: 7w(3 + 4w) = 0 (3 * 7w + 4w * 7w) = 0 (21w + 28w2) = 0 Solving 21w + 28w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '7w'. 7w(3 + 4w) = 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 '(3 + 4w)' equal to zero and attempt to solve: Simplifying 3 + 4w = 0 Solving 3 + 4w = 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 + 4w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4w = 0 + -3 4w = 0 + -3 Combine like terms: 0 + -3 = -3 4w = -3 Divide each side by '4'. w = -0.75 Simplifying w = -0.75Solution
w = {0, -0.75}
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