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Simplifying 2yz4 + -50yz2 = 0 Reorder the terms: -50yz2 + 2yz4 = 0 Solving -50yz2 + 2yz4 = 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), '2yz2'. 2yz2(-25 + z2) = 0 Factor a difference between two squares. 2yz2((5 + z)(-5 + z)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'yz2' equal to zero and attempt to solve: Simplifying yz2 = 0 Solving yz2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying yz2 = 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 '(5 + z)' equal to zero and attempt to solve: Simplifying 5 + z = 0 Solving 5 + z = 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 + z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + z = 0 + -5 z = 0 + -5 Combine like terms: 0 + -5 = -5 z = -5 Add '-1z' to each side of the equation. z + -1z = -5 + -1z Combine like terms: z + -1z = 0 0 = -5 + -1z Simplifying 0 = -5 + -1z 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 '(-5 + z)' equal to zero and attempt to solve: Simplifying -5 + z = 0 Solving -5 + z = 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 + z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + z = 0 + 5 z = 0 + 5 Combine like terms: 0 + 5 = 5 z = 5 Add '-1z' to each side of the equation. z + -1z = 5 + -1z Combine like terms: z + -1z = 0 0 = 5 + -1z Simplifying 0 = 5 + -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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