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Simplifying 4Z2 + 43Z = -63 Reorder the terms: 43Z + 4Z2 = -63 Solving 43Z + 4Z2 = -63 Solving for variable 'Z'. Reorder the terms: 63 + 43Z + 4Z2 = -63 + 63 Combine like terms: -63 + 63 = 0 63 + 43Z + 4Z2 = 0 Factor a trinomial. (9 + Z)(7 + 4Z) = 0Subproblem 1
Set the factor '(9 + Z)' equal to zero and attempt to solve: Simplifying 9 + Z = 0 Solving 9 + Z = 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 + Z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + Z = 0 + -9 Z = 0 + -9 Combine like terms: 0 + -9 = -9 Z = -9 Simplifying Z = -9Subproblem 2
Set the factor '(7 + 4Z)' equal to zero and attempt to solve: Simplifying 7 + 4Z = 0 Solving 7 + 4Z = 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 + 4Z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4Z = 0 + -7 4Z = 0 + -7 Combine like terms: 0 + -7 = -7 4Z = -7 Divide each side by '4'. Z = -1.75 Simplifying Z = -1.75Solution
Z = {-9, -1.75}
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