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Simplifying 25z4 + 15z2 + 2 = 0 Reorder the terms: 2 + 15z2 + 25z4 = 0 Solving 2 + 15z2 + 25z4 = 0 Solving for variable 'z'. Factor a trinomial. (2 + 5z2)(1 + 5z2) = 0Subproblem 1
Set the factor '(2 + 5z2)' equal to zero and attempt to solve: Simplifying 2 + 5z2 = 0 Solving 2 + 5z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5z2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5z2 = 0 + -2 5z2 = 0 + -2 Combine like terms: 0 + -2 = -2 5z2 = -2 Divide each side by '5'. z2 = -0.4 Simplifying z2 = -0.4 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 + 5z2)' equal to zero and attempt to solve: Simplifying 1 + 5z2 = 0 Solving 1 + 5z2 = 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 + 5z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5z2 = 0 + -1 5z2 = 0 + -1 Combine like terms: 0 + -1 = -1 5z2 = -1 Divide each side by '5'. z2 = -0.2 Simplifying z2 = -0.2 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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