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Simplifying z4 + -144 = 0 Reorder the terms: -144 + z4 = 0 Solving -144 + z4 = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '144' to each side of the equation. -144 + 144 + z4 = 0 + 144 Combine like terms: -144 + 144 = 0 0 + z4 = 0 + 144 z4 = 0 + 144 Combine like terms: 0 + 144 = 144 z4 = 144 Simplifying z4 = 144 Reorder the terms: -144 + z4 = 144 + -144 Combine like terms: 144 + -144 = 0 -144 + z4 = 0 Factor a difference between two squares. (12 + z2)(-12 + z2) = 0Subproblem 1
Set the factor '(12 + z2)' equal to zero and attempt to solve: Simplifying 12 + z2 = 0 Solving 12 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + z2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + z2 = 0 + -12 z2 = 0 + -12 Combine like terms: 0 + -12 = -12 z2 = -12 Simplifying z2 = -12 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 '(-12 + z2)' equal to zero and attempt to solve: Simplifying -12 + z2 = 0 Solving -12 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + z2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + z2 = 0 + 12 z2 = 0 + 12 Combine like terms: 0 + 12 = 12 z2 = 12 Simplifying z2 = 12 Take the square root of each side: z = {-3.464101615, 3.464101615}Solution
z = {-3.464101615, 3.464101615}
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