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Simplifying 147z2 + -55z + 2 = 0 Reorder the terms: 2 + -55z + 147z2 = 0 Solving 2 + -55z + 147z2 = 0 Solving for variable 'z'. Factor a trinomial. (2 + -49z)(1 + -3z) = 0Subproblem 1
Set the factor '(2 + -49z)' equal to zero and attempt to solve: Simplifying 2 + -49z = 0 Solving 2 + -49z = 0 Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -49z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -49z = 0 + -2 -49z = 0 + -2 Combine like terms: 0 + -2 = -2 -49z = -2 Divide each side by '-49'. z = 0.04081632653 Simplifying z = 0.04081632653Subproblem 2
Set the factor '(1 + -3z)' equal to zero and attempt to solve: Simplifying 1 + -3z = 0 Solving 1 + -3z = 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 + -3z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3z = 0 + -1 -3z = 0 + -1 Combine like terms: 0 + -1 = -1 -3z = -1 Divide each side by '-3'. z = 0.3333333333 Simplifying z = 0.3333333333Solution
z = {0.04081632653, 0.3333333333}
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