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Simplifying z(2z + 5) = 0 Reorder the terms: z(5 + 2z) = 0 (5 * z + 2z * z) = 0 (5z + 2z2) = 0 Solving 5z + 2z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(5 + 2z) = 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 + 2z)' equal to zero and attempt to solve: Simplifying 5 + 2z = 0 Solving 5 + 2z = 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 + 2z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2z = 0 + -5 2z = 0 + -5 Combine like terms: 0 + -5 = -5 2z = -5 Divide each side by '2'. z = -2.5 Simplifying z = -2.5Solution
z = {0, -2.5}
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