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Simplifying 4w7(6w + 8w2) = 0 (6w * 4w7 + 8w2 * 4w7) = 0 (24w8 + 32w9) = 0 Solving 24w8 + 32w9 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '8w8'. 8w8(3 + 4w) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'w8' equal to zero and attempt to solve: Simplifying w8 = 0 Solving w8 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w8 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 = {-0.75}
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