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Simplifying (14 + -1z) * z = 0 Reorder the terms for easier multiplication: z(14 + -1z) = 0 (14 * z + -1z * z) = 0 (14z + -1z2) = 0 Solving 14z + -1z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(14 + -1z) = 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 '(14 + -1z)' equal to zero and attempt to solve: Simplifying 14 + -1z = 0 Solving 14 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1z = 0 + -14 -1z = 0 + -14 Combine like terms: 0 + -14 = -14 -1z = -14 Divide each side by '-1'. z = 14 Simplifying z = 14Solution
z = {0, 14}
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