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Simplifying 8z2(6z3 + -7) = 0 Reorder the terms: 8z2(-7 + 6z3) = 0 (-7 * 8z2 + 6z3 * 8z2) = 0 (-56z2 + 48z5) = 0 Solving -56z2 + 48z5 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '8z2'. 8z2(-7 + 6z3) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'z2' equal to zero and attempt to solve: Simplifying z2 = 0 Solving z2 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z2 = 0 Take the square root of each side: z = {0}Subproblem 2
Set the factor '(-7 + 6z3)' equal to zero and attempt to solve: Simplifying -7 + 6z3 = 0 Solving -7 + 6z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6z3 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6z3 = 0 + 7 6z3 = 0 + 7 Combine like terms: 0 + 7 = 7 6z3 = 7 Divide each side by '6'. z3 = 1.166666667 Simplifying z3 = 1.166666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
z = {0}
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