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Simplifying 3z4 + 2z2 + -8 = 0 Reorder the terms: -8 + 2z2 + 3z4 = 0 Solving -8 + 2z2 + 3z4 = 0 Solving for variable 'z'. Factor a trinomial. (-2 + -1z2)(4 + -3z2) = 0Subproblem 1
Set the factor '(-2 + -1z2)' equal to zero and attempt to solve: Simplifying -2 + -1z2 = 0 Solving -2 + -1z2 = 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 + -1z2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1z2 = 0 + 2 -1z2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1z2 = 2 Divide each side by '-1'. z2 = -2 Simplifying z2 = -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 + -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 Take the square root of each side: z = {-1.154700538, 1.154700538}Solution
z = {-1.154700538, 1.154700538}
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