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Simplifying 0 = -1Q2 + 5Q + -150 Reorder the terms: 0 = -150 + 5Q + -1Q2 Solving 0 = -150 + 5Q + -1Q2 Solving for variable 'Q'. Combine like terms: 0 + 150 = 150 150 + -5Q + Q2 = -150 + 5Q + -1Q2 + 150 + -5Q + Q2 Reorder the terms: 150 + -5Q + Q2 = -150 + 150 + 5Q + -5Q + -1Q2 + Q2 Combine like terms: -150 + 150 = 0 150 + -5Q + Q2 = 0 + 5Q + -5Q + -1Q2 + Q2 150 + -5Q + Q2 = 5Q + -5Q + -1Q2 + Q2 Combine like terms: 5Q + -5Q = 0 150 + -5Q + Q2 = 0 + -1Q2 + Q2 150 + -5Q + Q2 = -1Q2 + Q2 Combine like terms: -1Q2 + Q2 = 0 150 + -5Q + Q2 = 0 Begin completing the square. Move the constant term to the right: Add '-150' to each side of the equation. 150 + -5Q + -150 + Q2 = 0 + -150 Reorder the terms: 150 + -150 + -5Q + Q2 = 0 + -150 Combine like terms: 150 + -150 = 0 0 + -5Q + Q2 = 0 + -150 -5Q + Q2 = 0 + -150 Combine like terms: 0 + -150 = -150 -5Q + Q2 = -150 The Q term is -5Q. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5Q + 6.25 + Q2 = -150 + 6.25 Reorder the terms: 6.25 + -5Q + Q2 = -150 + 6.25 Combine like terms: -150 + 6.25 = -143.75 6.25 + -5Q + Q2 = -143.75 Factor a perfect square on the left side: (Q + -2.5)(Q + -2.5) = -143.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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