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Simplifying (y4 + 5)(-8y2) = 0 Reorder the terms: (5 + y4)(-8y2) = 0 Remove parenthesis around (-8y2) (5 + y4) * -8y2 = 0 Reorder the terms for easier multiplication: -8y2(5 + y4) = 0 (5 * -8y2 + y4 * -8y2) = 0 (-40y2 + -8y6) = 0 Solving -40y2 + -8y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-8y2'. -8y2(5 + y4) = 0 Ignore the factor -8.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 + y4)' equal to zero and attempt to solve: Simplifying 5 + y4 = 0 Solving 5 + y4 = 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 + y4 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y4 = 0 + -5 y4 = 0 + -5 Combine like terms: 0 + -5 = -5 y4 = -5 Simplifying y4 = -5 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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