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Simplifying 6z4(8z + 10z2) = 0 (8z * 6z4 + 10z2 * 6z4) = 0 (48z5 + 60z6) = 0 Solving 48z5 + 60z6 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '12z5'. 12z5(4 + 5z) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'z5' equal to zero and attempt to solve: Simplifying z5 = 0 Solving z5 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 = {-0.8}
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