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Simplifying 4z7(10z2 + 9z) = 0 Reorder the terms: 4z7(9z + 10z2) = 0 (9z * 4z7 + 10z2 * 4z7) = 0 (36z8 + 40z9) = 0 Solving 36z8 + 40z9 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '4z8'. 4z8(9 + 10z) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'z8' equal to zero and attempt to solve: Simplifying z8 = 0 Solving z8 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z8 = 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 '(9 + 10z)' equal to zero and attempt to solve: Simplifying 9 + 10z = 0 Solving 9 + 10z = 0 Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 10z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 10z = 0 + -9 10z = 0 + -9 Combine like terms: 0 + -9 = -9 10z = -9 Divide each side by '10'. z = -0.9 Simplifying z = -0.9Solution
z = {-0.9}
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