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Simplifying 3yz + 10y2 = 0 Solving 3yz + 10y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(3z + 10y) = 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 '(3z + 10y)' equal to zero and attempt to solve: Simplifying 3z + 10y = 0 Reorder the terms: 10y + 3z = 0 Solving 10y + 3z = 0 Move all terms containing y to the left, all other terms to the right. Add '-3z' to each side of the equation. 10y + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 10y + 0 = 0 + -3z 10y = 0 + -3z Remove the zero: 10y = -3z Divide each side by '10'. y = -0.3z Simplifying y = -0.3zSolution
y = {0, -0.3z}
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