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Simplifying 14z5 + -70z4 + 10z4 = 0 Reorder the terms: -70z4 + 10z4 + 14z5 = 0 Combine like terms: -70z4 + 10z4 = -60z4 -60z4 + 14z5 = 0 Solving -60z4 + 14z5 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2z4'. 2z4(-30 + 7z) = 0 Ignore the factor 2.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 '(-30 + 7z)' equal to zero and attempt to solve: Simplifying -30 + 7z = 0 Solving -30 + 7z = 0 Move all terms containing z to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 7z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 7z = 0 + 30 7z = 0 + 30 Combine like terms: 0 + 30 = 30 7z = 30 Divide each side by '7'. z = 4.285714286 Simplifying z = 4.285714286Solution
z = {4.285714286}
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