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Simplifying z4 + -324 = 0 Reorder the terms: -324 + z4 = 0 Solving -324 + z4 = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '324' to each side of the equation. -324 + 324 + z4 = 0 + 324 Combine like terms: -324 + 324 = 0 0 + z4 = 0 + 324 z4 = 0 + 324 Combine like terms: 0 + 324 = 324 z4 = 324 Simplifying z4 = 324 Reorder the terms: -324 + z4 = 324 + -324 Combine like terms: 324 + -324 = 0 -324 + z4 = 0 Factor a difference between two squares. (18 + z2)(-18 + z2) = 0Subproblem 1
Set the factor '(18 + z2)' equal to zero and attempt to solve: Simplifying 18 + z2 = 0 Solving 18 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + z2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + z2 = 0 + -18 z2 = 0 + -18 Combine like terms: 0 + -18 = -18 z2 = -18 Simplifying z2 = -18 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 '(-18 + z2)' equal to zero and attempt to solve: Simplifying -18 + z2 = 0 Solving -18 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + z2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + z2 = 0 + 18 z2 = 0 + 18 Combine like terms: 0 + 18 = 18 z2 = 18 Simplifying z2 = 18 Take the square root of each side: z = {-4.242640687, 4.242640687}Solution
z = {-4.242640687, 4.242640687}
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