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Simplifying (-8y3 + -3yz)(-8x3 + 3yz) = 0 Reorder the terms: (-3yz + -8y3)(-8x3 + 3yz) = 0 Multiply (-3yz + -8y3) * (-8x3 + 3yz) (-3yz * (-8x3 + 3yz) + -8y3 * (-8x3 + 3yz)) = 0 ((-8x3 * -3yz + 3yz * -3yz) + -8y3 * (-8x3 + 3yz)) = 0 ((24x3yz + -9y2z2) + -8y3 * (-8x3 + 3yz)) = 0 (24x3yz + -9y2z2 + (-8x3 * -8y3 + 3yz * -8y3)) = 0 (24x3yz + -9y2z2 + (64x3y3 + -24y4z)) = 0 Reorder the terms: (24x3yz + 64x3y3 + -9y2z2 + -24y4z) = 0 (24x3yz + 64x3y3 + -9y2z2 + -24y4z) = 0 Solving 24x3yz + 64x3y3 + -9y2z2 + -24y4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9y2z2' to each side of the equation. 24x3yz + 64x3y3 + -9y2z2 + 9y2z2 + -24y4z = 0 + 9y2z2 Combine like terms: -9y2z2 + 9y2z2 = 0 24x3yz + 64x3y3 + 0 + -24y4z = 0 + 9y2z2 24x3yz + 64x3y3 + -24y4z = 0 + 9y2z2 Remove the zero: 24x3yz + 64x3y3 + -24y4z = 9y2z2 Add '24y4z' to each side of the equation. 24x3yz + 64x3y3 + -24y4z + 24y4z = 9y2z2 + 24y4z Combine like terms: -24y4z + 24y4z = 0 24x3yz + 64x3y3 + 0 = 9y2z2 + 24y4z 24x3yz + 64x3y3 = 9y2z2 + 24y4z Reorder the terms: 24x3yz + 64x3y3 + -9y2z2 + -24y4z = 9y2z2 + -9y2z2 + 24y4z + -24y4z Combine like terms: 9y2z2 + -9y2z2 = 0 24x3yz + 64x3y3 + -9y2z2 + -24y4z = 0 + 24y4z + -24y4z 24x3yz + 64x3y3 + -9y2z2 + -24y4z = 24y4z + -24y4z Combine like terms: 24y4z + -24y4z = 0 24x3yz + 64x3y3 + -9y2z2 + -24y4z = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(24x3z + 64x3y2 + -9yz2 + -24y3z) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(24x3z + 64x3y2 + -9yz2 + -24y3z)' equal to zero and attempt to solve: Simplifying 24x3z + 64x3y2 + -9yz2 + -24y3z = 0 Reorder the terms: 64x3y2 + 24x3z + -9yz2 + -24y3z = 0 Solving 64x3y2 + 24x3z + -9yz2 + -24y3z = 0 Move all terms containing x to the left, all other terms to the right. Add '9yz2' to each side of the equation. 64x3y2 + 24x3z + -9yz2 + 9yz2 + -24y3z = 0 + 9yz2 Combine like terms: -9yz2 + 9yz2 = 0 64x3y2 + 24x3z + 0 + -24y3z = 0 + 9yz2 64x3y2 + 24x3z + -24y3z = 0 + 9yz2 Remove the zero: 64x3y2 + 24x3z + -24y3z = 9yz2 Add '24y3z' to each side of the equation. 64x3y2 + 24x3z + -24y3z + 24y3z = 9yz2 + 24y3z Combine like terms: -24y3z + 24y3z = 0 64x3y2 + 24x3z + 0 = 9yz2 + 24y3z 64x3y2 + 24x3z = 9yz2 + 24y3z 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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