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Simplifying 3y4 + -8y2 + 5z2 = 0 Reorder the terms: -8y2 + 3y4 + 5z2 = 0 Solving -8y2 + 3y4 + 5z2 = 0 Solving for variable 'y'. Factor a trinomial. (3y2 + -5z)(y2 + -1z) = 0Subproblem 1
Set the factor '(3y2 + -5z)' equal to zero and attempt to solve: Simplifying 3y2 + -5z = 0 Solving 3y2 + -5z = 0 Move all terms containing y to the left, all other terms to the right. Add '5z' to each side of the equation. 3y2 + -5z + 5z = 0 + 5z Combine like terms: -5z + 5z = 0 3y2 + 0 = 0 + 5z 3y2 = 0 + 5z Remove the zero: 3y2 = 5z Divide each side by '3'. y2 = 1.666666667z Simplifying y2 = 1.666666667z 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 '(y2 + -1z)' equal to zero and attempt to solve: Simplifying y2 + -1z = 0 Solving y2 + -1z = 0 Move all terms containing y to the left, all other terms to the right. Add 'z' to each side of the equation. y2 + -1z + z = 0 + z Combine like terms: -1z + z = 0 y2 + 0 = 0 + z y2 = 0 + z Remove the zero: y2 = z Simplifying y2 = z 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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