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Simplifying 84z3 + -4z5 = 0 Solving 84z3 + -4z5 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '4z3'. 4z3(21 + -1z2) = 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 '(21 + -1z2)' equal to zero and attempt to solve: Simplifying 21 + -1z2 = 0 Solving 21 + -1z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1z2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1z2 = 0 + -21 -1z2 = 0 + -21 Combine like terms: 0 + -21 = -21 -1z2 = -21 Divide each side by '-1'. z2 = 21 Simplifying z2 = 21 Take the square root of each side: z = {-4.582575695, 4.582575695}Solution
z = {-4.582575695, 4.582575695}
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