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Simplifying 6z3 + -4z5 = 0 Solving 6z3 + -4z5 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2z3'. 2z3(3 + -2z2) = 0 Ignore the factor 2.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 '(3 + -2z2)' equal to zero and attempt to solve: Simplifying 3 + -2z2 = 0 Solving 3 + -2z2 = 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 + -2z2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2z2 = 0 + -3 -2z2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2z2 = -3 Divide each side by '-2'. z2 = 1.5 Simplifying z2 = 1.5 Take the square root of each side: z = {-1.224744871, 1.224744871}Solution
z = {-1.224744871, 1.224744871}
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