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Simplifying 4yz3 + 3yz2 + -10yz = 0 Reorder the terms: -10yz + 3yz2 + 4yz3 = 0 Solving -10yz + 3yz2 + 4yz3 = 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), 'yz'. yz(-10 + 3z + 4z2) = 0 Factor a trinomial. yz((-2 + -1z)(5 + -4z)) = 0Subproblem 1
Set the factor 'yz' equal to zero and attempt to solve: Simplifying yz = 0 Solving yz = 0 Move all terms containing y to the left, all other terms to the right. Simplifying yz = 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 '(-2 + -1z)' equal to zero and attempt to solve: Simplifying -2 + -1z = 0 Solving -2 + -1z = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1z = 0 + 2 -1z = 0 + 2 Combine like terms: 0 + 2 = 2 -1z = 2 Add 'z' to each side of the equation. -1z + z = 2 + z Combine like terms: -1z + z = 0 0 = 2 + z Simplifying 0 = 2 + z 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 + -4z)' equal to zero and attempt to solve: Simplifying 5 + -4z = 0 Solving 5 + -4z = 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 + -4z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4z = 0 + -5 -4z = 0 + -5 Combine like terms: 0 + -5 = -5 -4z = -5 Add '4z' to each side of the equation. -4z + 4z = -5 + 4z Combine like terms: -4z + 4z = 0 0 = -5 + 4z Simplifying 0 = -5 + 4z 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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