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Simplifying 8z2 + 7z = 0 Reorder the terms: 7z + 8z2 = 0 Solving 7z + 8z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(7 + 8z) = 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 '(7 + 8z)' equal to zero and attempt to solve: Simplifying 7 + 8z = 0 Solving 7 + 8z = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8z = 0 + -7 8z = 0 + -7 Combine like terms: 0 + -7 = -7 8z = -7 Divide each side by '8'. z = -0.875 Simplifying z = -0.875Solution
z = {0, -0.875}
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