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Simplifying 9z4 + 87z2 + 100 = 0 Reorder the terms: 100 + 87z2 + 9z4 = 0 Solving 100 + 87z2 + 9z4 = 0 Solving for variable 'z'. Factor a trinomial. (25 + 3z2)(4 + 3z2) = 0Subproblem 1
Set the factor '(25 + 3z2)' equal to zero and attempt to solve: Simplifying 25 + 3z2 = 0 Solving 25 + 3z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 3z2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 3z2 = 0 + -25 3z2 = 0 + -25 Combine like terms: 0 + -25 = -25 3z2 = -25 Divide each side by '3'. z2 = -8.333333333 Simplifying z2 = -8.333333333 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 + 3z2)' equal to zero and attempt to solve: Simplifying 4 + 3z2 = 0 Solving 4 + 3z2 = 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 + 3z2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3z2 = 0 + -4 3z2 = 0 + -4 Combine like terms: 0 + -4 = -4 3z2 = -4 Divide each side by '3'. z2 = -1.333333333 Simplifying z2 = -1.333333333 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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