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Simplifying (4w + 7)(2w + w) = 0 Reorder the terms: (7 + 4w)(2w + w) = 0 Combine like terms: 2w + w = 3w (7 + 4w)(3w) = 0 Remove parenthesis around (3w) (7 + 4w) * 3w = 0 Reorder the terms for easier multiplication: 3w(7 + 4w) = 0 (7 * 3w + 4w * 3w) = 0 (21w + 12w2) = 0 Solving 21w + 12w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3w'. 3w(7 + 4w) = 0 Ignore the factor 3.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 '(7 + 4w)' equal to zero and attempt to solve: Simplifying 7 + 4w = 0 Solving 7 + 4w = 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 + 4w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4w = 0 + -7 4w = 0 + -7 Combine like terms: 0 + -7 = -7 4w = -7 Divide each side by '4'. w = -1.75 Simplifying w = -1.75Solution
w = {0, -1.75}
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