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Simplifying 4w(7w + 3) = 0 Reorder the terms: 4w(3 + 7w) = 0 (3 * 4w + 7w * 4w) = 0 (12w + 28w2) = 0 Solving 12w + 28w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4w'. 4w(3 + 7w) = 0 Ignore the factor 4.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 + 7w)' equal to zero and attempt to solve: Simplifying 3 + 7w = 0 Solving 3 + 7w = 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 + 7w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7w = 0 + -3 7w = 0 + -3 Combine like terms: 0 + -3 = -3 7w = -3 Divide each side by '7'. w = -0.4285714286 Simplifying w = -0.4285714286Solution
w = {0, -0.4285714286}
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