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Simplifying 9yz2 + -16y = 0 Reorder the terms: -16y + 9yz2 = 0 Solving -16y + 9yz2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'y'. y(-16 + 9z2) = 0 Factor a difference between two squares. y((4 + 3z)(-4 + 3z)) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(4 + 3z)' equal to zero and attempt to solve: Simplifying 4 + 3z = 0 Solving 4 + 3z = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3z = 0 + -4 3z = 0 + -4 Combine like terms: 0 + -4 = -4 3z = -4 Add '-3z' to each side of the equation. 3z + -3z = -4 + -3z Combine like terms: 3z + -3z = 0 0 = -4 + -3z Simplifying 0 = -4 + -3z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-4 + 3z)' equal to zero and attempt to solve: Simplifying -4 + 3z = 0 Solving -4 + 3z = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3z = 0 + 4 3z = 0 + 4 Combine like terms: 0 + 4 = 4 3z = 4 Add '-3z' to each side of the equation. 3z + -3z = 4 + -3z Combine like terms: 3z + -3z = 0 0 = 4 + -3z Simplifying 0 = 4 + -3z 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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