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Simplifying z4 + -289 = 0 Reorder the terms: -289 + z4 = 0 Solving -289 + z4 = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '289' to each side of the equation. -289 + 289 + z4 = 0 + 289 Combine like terms: -289 + 289 = 0 0 + z4 = 0 + 289 z4 = 0 + 289 Combine like terms: 0 + 289 = 289 z4 = 289 Simplifying z4 = 289 Reorder the terms: -289 + z4 = 289 + -289 Combine like terms: 289 + -289 = 0 -289 + z4 = 0 Factor a difference between two squares. (17 + z2)(-17 + z2) = 0Subproblem 1
Set the factor '(17 + z2)' equal to zero and attempt to solve: Simplifying 17 + z2 = 0 Solving 17 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + z2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + z2 = 0 + -17 z2 = 0 + -17 Combine like terms: 0 + -17 = -17 z2 = -17 Simplifying z2 = -17 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 '(-17 + z2)' equal to zero and attempt to solve: Simplifying -17 + z2 = 0 Solving -17 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + z2 = 0 + 17 Combine like terms: -17 + 17 = 0 0 + z2 = 0 + 17 z2 = 0 + 17 Combine like terms: 0 + 17 = 17 z2 = 17 Simplifying z2 = 17 Take the square root of each side: z = {-4.123105626, 4.123105626}Solution
z = {-4.123105626, 4.123105626}
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