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Simplifying 4z2 + 12z + 9z = 0 Reorder the terms: 12z + 9z + 4z2 = 0 Combine like terms: 12z + 9z = 21z 21z + 4z2 = 0 Solving 21z + 4z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(21 + 4z) = 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 '(21 + 4z)' equal to zero and attempt to solve: Simplifying 21 + 4z = 0 Solving 21 + 4z = 0 Move all terms containing z to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 4z = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 4z = 0 + -21 4z = 0 + -21 Combine like terms: 0 + -21 = -21 4z = -21 Divide each side by '4'. z = -5.25 Simplifying z = -5.25Solution
z = {0, -5.25}
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