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Simplifying z10 + -4z9y + -21z8y2 = 0 Reorder the terms: -4yz9 + -21y2z8 + z10 = 0 Solving -4yz9 + -21y2z8 + z10 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'z8'. z8(-4yz + -21y2 + z2) = 0 Factor a trinomial. z8((-3y + -1z)(7y + -1z)) = 0Subproblem 1
Set the factor 'z8' equal to zero and attempt to solve: Simplifying z8 = 0 Solving z8 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z8' to each side of the equation. z8 + -1z8 = 0 + -1z8 Remove the zero: 0 = -1z8 Simplifying 0 = -1z8 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 '(-3y + -1z)' equal to zero and attempt to solve: Simplifying -3y + -1z = 0 Solving -3y + -1z = 0 Move all terms containing y to the left, all other terms to the right. Add 'z' to each side of the equation. -3y + -1z + z = 0 + z Combine like terms: -1z + z = 0 -3y + 0 = 0 + z -3y = 0 + z Remove the zero: -3y = z Divide each side by '-3'. y = -0.3333333333z Simplifying y = -0.3333333333zSubproblem 3
Set the factor '(7y + -1z)' equal to zero and attempt to solve: Simplifying 7y + -1z = 0 Solving 7y + -1z = 0 Move all terms containing y to the left, all other terms to the right. Add 'z' to each side of the equation. 7y + -1z + z = 0 + z Combine like terms: -1z + z = 0 7y + 0 = 0 + z 7y = 0 + z Remove the zero: 7y = z Divide each side by '7'. y = 0.1428571429z Simplifying y = 0.1428571429zSolution
y = {-0.3333333333z, 0.1428571429z}
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