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Simplifying 20 + -8Q = Q2 Solving 20 + -8Q = Q2 Solving for variable 'Q'. Combine like terms: Q2 + -1Q2 = 0 20 + -8Q + -1Q2 = 0 Factor a trinomial. (2 + -1Q)(10 + Q) = 0Subproblem 1
Set the factor '(2 + -1Q)' equal to zero and attempt to solve: Simplifying 2 + -1Q = 0 Solving 2 + -1Q = 0 Move all terms containing Q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1Q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1Q = 0 + -2 -1Q = 0 + -2 Combine like terms: 0 + -2 = -2 -1Q = -2 Divide each side by '-1'. Q = 2 Simplifying Q = 2Subproblem 2
Set the factor '(10 + Q)' equal to zero and attempt to solve: Simplifying 10 + Q = 0 Solving 10 + Q = 0 Move all terms containing Q to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + Q = 0 + -10 Combine like terms: 10 + -10 = 0 0 + Q = 0 + -10 Q = 0 + -10 Combine like terms: 0 + -10 = -10 Q = -10 Simplifying Q = -10Solution
Q = {2, -10}
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