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Simplifying 5z2 = -4z Solving 5z2 = -4z Solving for variable 'z'. Reorder the terms: 4z + 5z2 = -4z + 4z Combine like terms: -4z + 4z = 0 4z + 5z2 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(4 + 5z) = 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 '(4 + 5z)' equal to zero and attempt to solve: Simplifying 4 + 5z = 0 Solving 4 + 5z = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5z = 0 + -4 5z = 0 + -4 Combine like terms: 0 + -4 = -4 5z = -4 Divide each side by '5'. z = -0.8 Simplifying z = -0.8Solution
z = {0, -0.8}
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