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Simplifying -9y2(-8y2 + -5) = 0 Reorder the terms: -9y2(-5 + -8y2) = 0 (-5 * -9y2 + -8y2 * -9y2) = 0 (45y2 + 72y4) = 0 Solving 45y2 + 72y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '9y2'. 9y2(5 + 8y2) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(5 + 8y2)' equal to zero and attempt to solve: Simplifying 5 + 8y2 = 0 Solving 5 + 8y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8y2 = 0 + -5 8y2 = 0 + -5 Combine like terms: 0 + -5 = -5 8y2 = -5 Divide each side by '8'. y2 = -0.625 Simplifying y2 = -0.625 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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