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Simplifying Y(w) = -8w Multiply Y * w wY = -8w Solving wY = -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 8w + wY = -8w + 8w Combine like terms: -8w + 8w = 0 8w + wY = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(8 + Y) = 0Subproblem 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 '(8 + Y)' equal to zero and attempt to solve: Simplifying 8 + Y = 0 Solving 8 + Y = 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 + Y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + Y = 0 + -8 Y = 0 + -8 Combine like terms: 0 + -8 = -8 Y = -8 Add '-1Y' to each side of the equation. Y + -1Y = -8 + -1Y Combine like terms: Y + -1Y = 0 0 = -8 + -1Y Simplifying 0 = -8 + -1Y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
w = {0}
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