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Simplifying 2x2 + -8x2 + x + -3x2 = 5 + -2 Reorder the terms: x + 2x2 + -8x2 + -3x2 = 5 + -2 Combine like terms: 2x2 + -8x2 = -6x2 x + -6x2 + -3x2 = 5 + -2 Combine like terms: -6x2 + -3x2 = -9x2 x + -9x2 = 5 + -2 Combine like terms: 5 + -2 = 3 x + -9x2 = 3 Solving x + -9x2 = 3 Solving for variable 'x'. Reorder the terms: -3 + x + -9x2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 0.3333333333 + -0.1111111111x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + -0.1111111111x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + -0.1111111111x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + -0.1111111111x + x2 = 0 + -0.3333333333 -0.1111111111x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 -0.1111111111x + x2 = -0.3333333333 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. -0.1111111111x + 0.25 + x2 = -0.3333333333 + 0.25 Reorder the terms: 0.25 + -0.1111111111x + x2 = -0.3333333333 + 0.25 Combine like terms: -0.3333333333 + 0.25 = -0.0833333333 0.25 + -0.1111111111x + x2 = -0.0833333333 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.0833333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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