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Simplifying (8(z3) + -10)(8z) = 0 Reorder the terms: (-10 + 8z3)(8z) = 0 Remove parenthesis around (8z) (-10 + 8z3) * 8z = 0 Reorder the terms for easier multiplication: 8z(-10 + 8z3) = 0 (-10 * 8z + 8z3 * 8z) = 0 (-80z + 64z4) = 0 Solving -80z + 64z4 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '16z'. 16z(-5 + 4z3) = 0 Ignore the factor 16.Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0Subproblem 2
Set the factor '(-5 + 4z3)' equal to zero and attempt to solve: Simplifying -5 + 4z3 = 0 Solving -5 + 4z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4z3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4z3 = 0 + 5 4z3 = 0 + 5 Combine like terms: 0 + 5 = 5 4z3 = 5 Divide each side by '4'. z3 = 1.25 Simplifying z3 = 1.25 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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