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Simplifying 10z3(7z5 + 8z) = 0 Reorder the terms: 10z3(8z + 7z5) = 0 (8z * 10z3 + 7z5 * 10z3) = 0 (80z4 + 70z8) = 0 Solving 80z4 + 70z8 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '10z4'. 10z4(8 + 7z4) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'z4' equal to zero and attempt to solve: Simplifying z4 = 0 Solving z4 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z4 = 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 '(8 + 7z4)' equal to zero and attempt to solve: Simplifying 8 + 7z4 = 0 Solving 8 + 7z4 = 0 Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7z4 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7z4 = 0 + -8 7z4 = 0 + -8 Combine like terms: 0 + -8 = -8 7z4 = -8 Divide each side by '7'. z4 = -1.142857143 Simplifying z4 = -1.142857143 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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