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Simplifying 8z4 + 14z2 = -5 Reorder the terms: 14z2 + 8z4 = -5 Solving 14z2 + 8z4 = -5 Solving for variable 'z'. Reorder the terms: 5 + 14z2 + 8z4 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 14z2 + 8z4 = 0 Factor a trinomial. (5 + 4z2)(1 + 2z2) = 0Subproblem 1
Set the factor '(5 + 4z2)' equal to zero and attempt to solve: Simplifying 5 + 4z2 = 0 Solving 5 + 4z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4z2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4z2 = 0 + -5 4z2 = 0 + -5 Combine like terms: 0 + -5 = -5 4z2 = -5 Divide each side by '4'. z2 = -1.25 Simplifying z2 = -1.25 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 '(1 + 2z2)' equal to zero and attempt to solve: Simplifying 1 + 2z2 = 0 Solving 1 + 2z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2z2 = 0 + -1 2z2 = 0 + -1 Combine like terms: 0 + -1 = -1 2z2 = -1 Divide each side by '2'. z2 = -0.5 Simplifying z2 = -0.5 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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