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Simplifying 25z4 + 20z2 + 3 = 0 Reorder the terms: 3 + 20z2 + 25z4 = 0 Solving 3 + 20z2 + 25z4 = 0 Solving for variable 'z'. Factor a trinomial. (3 + 5z2)(1 + 5z2) = 0Subproblem 1
Set the factor '(3 + 5z2)' equal to zero and attempt to solve: Simplifying 3 + 5z2 = 0 Solving 3 + 5z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5z2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5z2 = 0 + -3 5z2 = 0 + -3 Combine like terms: 0 + -3 = -3 5z2 = -3 Divide each side by '5'. z2 = -0.6 Simplifying z2 = -0.6 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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