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Simplifying 2z2 + -11z + -63 = 0 Reorder the terms: -63 + -11z + 2z2 = 0 Solving -63 + -11z + 2z2 = 0 Solving for variable 'z'. Factor a trinomial. (-7 + -2z)(9 + -1z) = 0Subproblem 1
Set the factor '(-7 + -2z)' equal to zero and attempt to solve: Simplifying -7 + -2z = 0 Solving -7 + -2z = 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 + -2z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2z = 0 + 7 -2z = 0 + 7 Combine like terms: 0 + 7 = 7 -2z = 7 Divide each side by '-2'. z = -3.5 Simplifying z = -3.5Subproblem 2
Set the factor '(9 + -1z)' equal to zero and attempt to solve: Simplifying 9 + -1z = 0 Solving 9 + -1z = 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 + -1z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1z = 0 + -9 -1z = 0 + -9 Combine like terms: 0 + -9 = -9 -1z = -9 Divide each side by '-1'. z = 9 Simplifying z = 9Solution
z = {-3.5, 9}
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