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Simplifying 18z2 + 41z + 21 = 0 Reorder the terms: 21 + 41z + 18z2 = 0 Solving 21 + 41z + 18z2 = 0 Solving for variable 'z'. Factor a trinomial. (3 + 2z)(7 + 9z) = 0Subproblem 1
Set the factor '(3 + 2z)' equal to zero and attempt to solve: Simplifying 3 + 2z = 0 Solving 3 + 2z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2z = 0 + -3 2z = 0 + -3 Combine like terms: 0 + -3 = -3 2z = -3 Divide each side by '2'. z = -1.5 Simplifying z = -1.5Subproblem 2
Set the factor '(7 + 9z)' equal to zero and attempt to solve: Simplifying 7 + 9z = 0 Solving 7 + 9z = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9z = 0 + -7 9z = 0 + -7 Combine like terms: 0 + -7 = -7 9z = -7 Divide each side by '9'. z = -0.7777777778 Simplifying z = -0.7777777778Solution
z = {-1.5, -0.7777777778}
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