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Simplifying 3z + 2z = 21z2 Combine like terms: 3z + 2z = 5z 5z = 21z2 Solving 5z = 21z2 Solving for variable 'z'. Combine like terms: 21z2 + -21z2 = 0 5z + -21z2 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(5 + -21z) = 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 '(5 + -21z)' equal to zero and attempt to solve: Simplifying 5 + -21z = 0 Solving 5 + -21z = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -21z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -21z = 0 + -5 -21z = 0 + -5 Combine like terms: 0 + -5 = -5 -21z = -5 Divide each side by '-21'. z = 0.2380952381 Simplifying z = 0.2380952381Solution
z = {0, 0.2380952381}
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