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Simplifying 7w5(5w2 + -8) = 0 Reorder the terms: 7w5(-8 + 5w2) = 0 (-8 * 7w5 + 5w2 * 7w5) = 0 (-56w5 + 35w7) = 0 Solving -56w5 + 35w7 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '7w5'. 7w5(-8 + 5w2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'w5' equal to zero and attempt to solve: Simplifying w5 = 0 Solving w5 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w5 = 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 '(-8 + 5w2)' equal to zero and attempt to solve: Simplifying -8 + 5w2 = 0 Solving -8 + 5w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5w2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5w2 = 0 + 8 5w2 = 0 + 8 Combine like terms: 0 + 8 = 8 5w2 = 8 Divide each side by '5'. w2 = 1.6 Simplifying w2 = 1.6 Take the square root of each side: w = {-1.264911064, 1.264911064}Solution
w = {-1.264911064, 1.264911064}
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