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Simplifying 7w5(2w2 + -8) = 0 Reorder the terms: 7w5(-8 + 2w2) = 0 (-8 * 7w5 + 2w2 * 7w5) = 0 (-56w5 + 14w7) = 0 Solving -56w5 + 14w7 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '14w5'. 14w5(-4 + w2) = 0 Factor a difference between two squares. 14w5((2 + w)(-2 + w)) = 0 Ignore the factor 14.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 '(2 + w)' equal to zero and attempt to solve: Simplifying 2 + w = 0 Solving 2 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + w = 0 + -2 w = 0 + -2 Combine like terms: 0 + -2 = -2 w = -2 Simplifying w = -2Subproblem 3
Set the factor '(-2 + w)' equal to zero and attempt to solve: Simplifying -2 + w = 0 Solving -2 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + w = 0 + 2 w = 0 + 2 Combine like terms: 0 + 2 = 2 w = 2 Simplifying w = 2Solution
w = {-2, 2}
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