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Simplifying 4z5 = 8z3 Solving 4z5 = 8z3 Solving for variable 'z'. Reorder the terms: -8z3 + 4z5 = 8z3 + -8z3 Combine like terms: 8z3 + -8z3 = 0 -8z3 + 4z5 = 0 Factor out the Greatest Common Factor (GCF), '4z3'. 4z3(-2 + z2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'z3' equal to zero and attempt to solve: Simplifying z3 = 0 Solving z3 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z3 = 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 '(-2 + z2)' equal to zero and attempt to solve: Simplifying -2 + z2 = 0 Solving -2 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + z2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + z2 = 0 + 2 z2 = 0 + 2 Combine like terms: 0 + 2 = 2 z2 = 2 Simplifying z2 = 2 Take the square root of each side: z = {-1.414213562, 1.414213562}Solution
z = {-1.414213562, 1.414213562}
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