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Simplifying 5z4 + -28z2 + -12 = 0 Reorder the terms: -12 + -28z2 + 5z4 = 0 Solving -12 + -28z2 + 5z4 = 0 Solving for variable 'z'. Factor a trinomial. (-2 + -5z2)(6 + -1z2) = 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 '(6 + -1z2)' equal to zero and attempt to solve: Simplifying 6 + -1z2 = 0 Solving 6 + -1z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1z2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1z2 = 0 + -6 -1z2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1z2 = -6 Divide each side by '-1'. z2 = 6 Simplifying z2 = 6 Take the square root of each side: z = {-2.449489743, 2.449489743}Solution
z = {-2.449489743, 2.449489743}
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