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Simplifying 80z8 + -46z6 = 0 Reorder the terms: -46z6 + 80z8 = 0 Solving -46z6 + 80z8 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2z6'. 2z6(-23 + 40z2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'z6' equal to zero and attempt to solve: Simplifying z6 = 0 Solving z6 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z6 = 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 '(-23 + 40z2)' equal to zero and attempt to solve: Simplifying -23 + 40z2 = 0 Solving -23 + 40z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 40z2 = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 40z2 = 0 + 23 40z2 = 0 + 23 Combine like terms: 0 + 23 = 23 40z2 = 23 Divide each side by '40'. z2 = 0.575 Simplifying z2 = 0.575 Take the square root of each side: z = {-0.758287544, 0.758287544}Solution
z = {-0.758287544, 0.758287544}
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