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Simplifying 5y2z + -2yz2 + 3y2z = 0 Reorder the terms: -2yz2 + 5y2z + 3y2z = 0 Combine like terms: 5y2z + 3y2z = 8y2z -2yz2 + 8y2z = 0 Solving -2yz2 + 8y2z = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2yz'. 2yz(-1z + 4y) = 0 Ignore the factor 2.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 '(-1z + 4y)' equal to zero and attempt to solve: Simplifying -1z + 4y = 0 Reorder the terms: 4y + -1z = 0 Solving 4y + -1z = 0 Move all terms containing y to the left, all other terms to the right. Add 'z' to each side of the equation. 4y + -1z + z = 0 + z Combine like terms: -1z + z = 0 4y + 0 = 0 + z 4y = 0 + z Remove the zero: 4y = z Divide each side by '4'. y = 0.25z Simplifying y = 0.25zSolution
y = {0.25z}
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