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Simplifying 4z2(3z5 + 8z) = 0 Reorder the terms: 4z2(8z + 3z5) = 0 (8z * 4z2 + 3z5 * 4z2) = 0 (32z3 + 12z7) = 0 Solving 32z3 + 12z7 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '4z3'. 4z3(8 + 3z4) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'z3' equal to zero and attempt to solve: Simplifying z3 = 0 Solving z3 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z3 = 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 '(8 + 3z4)' equal to zero and attempt to solve: Simplifying 8 + 3z4 = 0 Solving 8 + 3z4 = 0 Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3z4 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3z4 = 0 + -8 3z4 = 0 + -8 Combine like terms: 0 + -8 = -8 3z4 = -8 Divide each side by '3'. z4 = -2.666666667 Simplifying z4 = -2.666666667 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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