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Simplifying -12z5 + 10z4 + 8z4 = 0 Reorder the terms: 10z4 + 8z4 + -12z5 = 0 Combine like terms: 10z4 + 8z4 = 18z4 18z4 + -12z5 = 0 Solving 18z4 + -12z5 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '6z4'. 6z4(3 + -2z) = 0 Ignore the factor 6.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 '(3 + -2z)' equal to zero and attempt to solve: Simplifying 3 + -2z = 0 Solving 3 + -2z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2z = 0 + -3 -2z = 0 + -3 Combine like terms: 0 + -3 = -3 -2z = -3 Divide each side by '-2'. z = 1.5 Simplifying z = 1.5Solution
z = {1.5}
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