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Simplifying 4z2 = 9z Solving 4z2 = 9z Solving for variable 'z'. Reorder the terms: -9z + 4z2 = 9z + -9z Combine like terms: 9z + -9z = 0 -9z + 4z2 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(-9 + 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 '(-9 + 4z)' equal to zero and attempt to solve: Simplifying -9 + 4z = 0 Solving -9 + 4z = 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 + 4z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4z = 0 + 9 4z = 0 + 9 Combine like terms: 0 + 9 = 9 4z = 9 Divide each side by '4'. z = 2.25 Simplifying z = 2.25Solution
z = {0, 2.25}
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