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Simplifying 4z(z2 + 3) + -3z = 0 Reorder the terms: 4z(3 + z2) + -3z = 0 (3 * 4z + z2 * 4z) + -3z = 0 (12z + 4z3) + -3z = 0 Reorder the terms: 12z + -3z + 4z3 = 0 Combine like terms: 12z + -3z = 9z 9z + 4z3 = 0 Solving 9z + 4z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(9 + 4z2) = 0Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0Subproblem 2
Set the factor '(9 + 4z2)' equal to zero and attempt to solve: Simplifying 9 + 4z2 = 0 Solving 9 + 4z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4z2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4z2 = 0 + -9 4z2 = 0 + -9 Combine like terms: 0 + -9 = -9 4z2 = -9 Divide each side by '4'. z2 = -2.25 Simplifying z2 = -2.25 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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