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Simplifying 30y2z + 12yz2 + -18yz = 0 Reorder the terms: -18yz + 12yz2 + 30y2z = 0 Solving -18yz + 12yz2 + 30y2z = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '6yz'. 6yz(-3 + 2z + 5y) = 0 Ignore the factor 6.Subproblem 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 '(-3 + 2z + 5y)' equal to zero and attempt to solve: Simplifying -3 + 2z + 5y = 0 Reorder the terms: -3 + 5y + 2z = 0 Solving -3 + 5y + 2z = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 5y + 3 + 2z = 0 + 3 Reorder the terms: -3 + 3 + 5y + 2z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5y + 2z = 0 + 3 5y + 2z = 0 + 3 Combine like terms: 0 + 3 = 3 5y + 2z = 3 Add '-2z' to each side of the equation. 5y + 2z + -2z = 3 + -2z Combine like terms: 2z + -2z = 0 5y + 0 = 3 + -2z 5y = 3 + -2z Divide each side by '5'. y = 0.6 + -0.4z Simplifying y = 0.6 + -0.4zSolution
y = {0.6 + -0.4z}
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