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Simplifying 8z6 + -6z4 = 0 Reorder the terms: -6z4 + 8z6 = 0 Solving -6z4 + 8z6 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2z4'. 2z4(-3 + 4z2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'z4' equal to zero and attempt to solve: Simplifying z4 = 0 Solving z4 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z4 = 0 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 '(-3 + 4z2)' equal to zero and attempt to solve: Simplifying -3 + 4z2 = 0 Solving -3 + 4z2 = 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 + 4z2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4z2 = 0 + 3 4z2 = 0 + 3 Combine like terms: 0 + 3 = 3 4z2 = 3 Divide each side by '4'. z2 = 0.75 Simplifying z2 = 0.75 Take the square root of each side: z = {-0.866025404, 0.866025404}Solution
z = {-0.866025404, 0.866025404}
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