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Simplifying 4z2 = 84z3 Solving 4z2 = 84z3 Solving for variable 'z'. Combine like terms: 84z3 + -84z3 = 0 4z2 + -84z3 = 0 Factor out the Greatest Common Factor (GCF), '4z2'. 4z2(1 + -21z) = 0 Ignore the factor 4.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 '(1 + -21z)' equal to zero and attempt to solve: Simplifying 1 + -21z = 0 Solving 1 + -21z = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -21z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -21z = 0 + -1 -21z = 0 + -1 Combine like terms: 0 + -1 = -1 -21z = -1 Divide each side by '-21'. z = 0.04761904762 Simplifying z = 0.04761904762Solution
z = {0, 0.04761904762}
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