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Simplifying 12z2 + -44z = 45 Reorder the terms: -44z + 12z2 = 45 Solving -44z + 12z2 = 45 Solving for variable 'z'. Reorder the terms: -45 + -44z + 12z2 = 45 + -45 Combine like terms: 45 + -45 = 0 -45 + -44z + 12z2 = 0 Factor a trinomial. (-5 + -6z)(9 + -2z) = 0Subproblem 1
Set the factor '(-5 + -6z)' equal to zero and attempt to solve: Simplifying -5 + -6z = 0 Solving -5 + -6z = 0 Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -6z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6z = 0 + 5 -6z = 0 + 5 Combine like terms: 0 + 5 = 5 -6z = 5 Divide each side by '-6'. z = -0.8333333333 Simplifying z = -0.8333333333Subproblem 2
Set the factor '(9 + -2z)' equal to zero and attempt to solve: Simplifying 9 + -2z = 0 Solving 9 + -2z = 0 Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2z = 0 + -9 -2z = 0 + -9 Combine like terms: 0 + -9 = -9 -2z = -9 Divide each side by '-2'. z = 4.5 Simplifying z = 4.5Solution
z = {-0.8333333333, 4.5}
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