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Simplifying 63z2 + 16z + 1 = 0 Reorder the terms: 1 + 16z + 63z2 = 0 Solving 1 + 16z + 63z2 = 0 Solving for variable 'z'. Factor a trinomial. (1 + 7z)(1 + 9z) = 0Subproblem 1
Set the factor '(1 + 7z)' equal to zero and attempt to solve: Simplifying 1 + 7z = 0 Solving 1 + 7z = 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 + 7z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7z = 0 + -1 7z = 0 + -1 Combine like terms: 0 + -1 = -1 7z = -1 Divide each side by '7'. z = -0.1428571429 Simplifying z = -0.1428571429Subproblem 2
Set the factor '(1 + 9z)' equal to zero and attempt to solve: Simplifying 1 + 9z = 0 Solving 1 + 9z = 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 + 9z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9z = 0 + -1 9z = 0 + -1 Combine like terms: 0 + -1 = -1 9z = -1 Divide each side by '9'. z = -0.1111111111 Simplifying z = -0.1111111111Solution
z = {-0.1428571429, -0.1111111111}
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