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Simplifying 25z4 + 100z2 + 64 = 0 Reorder the terms: 64 + 100z2 + 25z4 = 0 Solving 64 + 100z2 + 25z4 = 0 Solving for variable 'z'. Factor a trinomial. (16 + 5z2)(4 + 5z2) = 0Subproblem 1
Set the factor '(16 + 5z2)' equal to zero and attempt to solve: Simplifying 16 + 5z2 = 0 Solving 16 + 5z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5z2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 5z2 = 0 + -16 5z2 = 0 + -16 Combine like terms: 0 + -16 = -16 5z2 = -16 Divide each side by '5'. z2 = -3.2 Simplifying z2 = -3.2 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 '(4 + 5z2)' equal to zero and attempt to solve: Simplifying 4 + 5z2 = 0 Solving 4 + 5z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5z2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5z2 = 0 + -4 5z2 = 0 + -4 Combine like terms: 0 + -4 = -4 5z2 = -4 Divide each side by '5'. z2 = -0.8 Simplifying z2 = -0.8 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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