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Simplifying y4 + -1z2 = 0 Solving y4 + -1z2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'z2' to each side of the equation. y4 + -1z2 + z2 = 0 + z2 Combine like terms: -1z2 + z2 = 0 y4 + 0 = 0 + z2 y4 = 0 + z2 Remove the zero: y4 = z2 Simplifying y4 = z2 Combine like terms: z2 + -1z2 = 0 y4 + -1z2 = 0 Factor a difference between two squares. (y2 + z)(y2 + -1z) = 0Subproblem 1
Set the factor '(y2 + z)' equal to zero and attempt to solve: Simplifying y2 + z = 0 Solving y2 + z = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. y2 + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 y2 + 0 = 0 + -1z y2 = 0 + -1z Remove the zero: y2 = -1z Simplifying y2 = -1z 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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