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Simplifying Z4 + -9z2 = 0 Solving Z4 + -9z2 = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '9z2' to each side of the equation. Z4 + -9z2 + 9z2 = 0 + 9z2 Combine like terms: -9z2 + 9z2 = 0 Z4 + 0 = 0 + 9z2 Z4 = 0 + 9z2 Remove the zero: Z4 = 9z2 Simplifying Z4 = 9z2 Combine like terms: 9z2 + -9z2 = 0 Z4 + -9z2 = 0 Factor a difference between two squares. (Z2 + 3z)(Z2 + -3z) = 0Subproblem 1
Set the factor '(Z2 + 3z)' equal to zero and attempt to solve: Simplifying Z2 + 3z = 0 Solving Z2 + 3z = 0 Move all terms containing Z to the left, all other terms to the right. Add '-3z' to each side of the equation. Z2 + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 Z2 + 0 = 0 + -3z Z2 = 0 + -3z Remove the zero: Z2 = -3z Simplifying Z2 = -3z 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 '(Z2 + -3z)' equal to zero and attempt to solve: Simplifying Z2 + -3z = 0 Solving Z2 + -3z = 0 Move all terms containing Z to the left, all other terms to the right. Add '3z' to each side of the equation. Z2 + -3z + 3z = 0 + 3z Combine like terms: -3z + 3z = 0 Z2 + 0 = 0 + 3z Z2 = 0 + 3z Remove the zero: Z2 = 3z Simplifying Z2 = 3z 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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