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Simplifying z = z3 * 3.5 Reorder the terms for easier multiplication: z = 3.5z3 Solving z = 3.5z3 Solving for variable 'z'. Combine like terms: 3.5z3 + -3.5z3 = 0.0 z + -3.5z3 = 0.0 Factor out the Greatest Common Factor (GCF), 'z'. z(1 + -3.5z2) = 0.0Subproblem 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 '(1 + -3.5z2)' equal to zero and attempt to solve: Simplifying 1 + -3.5z2 = 0 Solving 1 + -3.5z2 = 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 + -3.5z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3.5z2 = 0 + -1 -3.5z2 = 0 + -1 Combine like terms: 0 + -1 = -1 -3.5z2 = -1 Divide each side by '-3.5'. z2 = 0.2857142857 Simplifying z2 = 0.2857142857 Take the square root of each side: z = {-0.534522484, 0.534522484}Solution
z = {0, -0.534522484, 0.534522484}
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