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Simplifying -12z4 = 3z2 Solving -12z4 = 3z2 Solving for variable 'z'. Reorder the terms: -3z2 + -12z4 = 3z2 + -3z2 Combine like terms: 3z2 + -3z2 = 0 -3z2 + -12z4 = 0 Factor out the Greatest Common Factor (GCF), '-3z2'. -3z2(1 + 4z2) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'z2' equal to zero and attempt to solve: Simplifying z2 = 0 Solving z2 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z2 = 0 Take the square root of each side: z = {0}Subproblem 2
Set the factor '(1 + 4z2)' equal to zero and attempt to solve: Simplifying 1 + 4z2 = 0 Solving 1 + 4z2 = 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 + 4z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4z2 = 0 + -1 4z2 = 0 + -1 Combine like terms: 0 + -1 = -1 4z2 = -1 Divide each side by '4'. z2 = -0.25 Simplifying z2 = -0.25 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
z = {0}
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