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Simplifying x + -3x2 = 1800 Solving x + -3x2 = 1800 Solving for variable 'x'. Reorder the terms: -1800 + x + -3x2 = 1800 + -1800 Combine like terms: 1800 + -1800 = 0 -1800 + x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 600 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-600' to each side of the equation. 600 + -0.3333333333x + -600 + x2 = 0 + -600 Reorder the terms: 600 + -600 + -0.3333333333x + x2 = 0 + -600 Combine like terms: 600 + -600 = 0 0 + -0.3333333333x + x2 = 0 + -600 -0.3333333333x + x2 = 0 + -600 Combine like terms: 0 + -600 = -600 -0.3333333333x + x2 = -600 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.3333333333x + 0.25 + x2 = -600 + 0.25 Reorder the terms: 0.25 + -0.3333333333x + x2 = -600 + 0.25 Combine like terms: -600 + 0.25 = -599.75 0.25 + -0.3333333333x + x2 = -599.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -599.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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