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Simplifying 10000 + 10Q = -0.1Q2 Solving 10000 + 10Q = -0.1Q2 Solving for variable 'Q'. Combine like terms: -0.1Q2 + 0.1Q2 = 0.0 10000 + 10Q + 0.1Q2 = 0.0 Begin completing the square. Divide all terms by 0.1 the coefficient of the squared term: Divide each side by '0.1'. 100000 + 100Q + Q2 = 0 Move the constant term to the right: Add '-100000' to each side of the equation. 100000 + 100Q + -100000 + Q2 = 0 + -100000 Reorder the terms: 100000 + -100000 + 100Q + Q2 = 0 + -100000 Combine like terms: 100000 + -100000 = 0 0 + 100Q + Q2 = 0 + -100000 100Q + Q2 = 0 + -100000 Combine like terms: 0 + -100000 = -100000 100Q + Q2 = -100000 The Q term is 100Q. Take half its coefficient (50). Square it (2500) and add it to both sides. Add '2500' to each side of the equation. 100Q + 2500 + Q2 = -100000 + 2500 Reorder the terms: 2500 + 100Q + Q2 = -100000 + 2500 Combine like terms: -100000 + 2500 = -97500 2500 + 100Q + Q2 = -97500 Factor a perfect square on the left side: (Q + 50)(Q + 50) = -97500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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