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Simplifying 12z7 + -16z5 = 0 Reorder the terms: -16z5 + 12z7 = 0 Solving -16z5 + 12z7 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '4z5'. 4z5(-4 + 3z2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'z5' equal to zero and attempt to solve: Simplifying z5 = 0 Solving z5 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z5 = 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 '(-4 + 3z2)' equal to zero and attempt to solve: Simplifying -4 + 3z2 = 0 Solving -4 + 3z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3z2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3z2 = 0 + 4 3z2 = 0 + 4 Combine like terms: 0 + 4 = 4 3z2 = 4 Divide each side by '3'. z2 = 1.333333333 Simplifying z2 = 1.333333333 Take the square root of each side: z = {-1.154700538, 1.154700538}Solution
z = {-1.154700538, 1.154700538}
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