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Simplifying 4xy4 + -4xz2 = 0 Solving 4xy4 + -4xz2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '4x'. 4x(y4 + -1z2) = 0 Factor a difference between two squares. 4x((y2 + z)(y2 + -1z)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(y2 + z)' equal to zero and attempt to solve: Simplifying y2 + z = 0 Solving y2 + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 + z = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 0 + z = 0 + -1y2 z = 0 + -1y2 Remove the zero: z = -1y2 Add '-1z' to each side of the equation. z + -1z = -1y2 + -1z Combine like terms: z + -1z = 0 0 = -1y2 + -1z Simplifying 0 = -1y2 + -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(y2 + -1z)' equal to zero and attempt to solve: Simplifying y2 + -1z = 0 Solving y2 + -1z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 + -1z = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 0 + -1z = 0 + -1y2 -1z = 0 + -1y2 Remove the zero: -1z = -1y2 Add 'z' to each side of the equation. -1z + z = -1y2 + z Combine like terms: -1z + z = 0 0 = -1y2 + z Simplifying 0 = -1y2 + z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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