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Simplifying (x + -9x2) = 49 Remove parenthesis around (x + -9x2) x + -9x2 = 49 Solving x + -9x2 = 49 Solving for variable 'x'. Reorder the terms: -49 + x + -9x2 = 49 + -49 Combine like terms: 49 + -49 = 0 -49 + x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 5.444444444 + -0.1111111111x + x2 = 0 Move the constant term to the right: Add '-5.444444444' to each side of the equation. 5.444444444 + -0.1111111111x + -5.444444444 + x2 = 0 + -5.444444444 Reorder the terms: 5.444444444 + -5.444444444 + -0.1111111111x + x2 = 0 + -5.444444444 Combine like terms: 5.444444444 + -5.444444444 = 0.000000000 0.000000000 + -0.1111111111x + x2 = 0 + -5.444444444 -0.1111111111x + x2 = 0 + -5.444444444 Combine like terms: 0 + -5.444444444 = -5.444444444 -0.1111111111x + x2 = -5.444444444 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 = -5.444444444 + 0.25 Reorder the terms: 0.25 + -0.1111111111x + x2 = -5.444444444 + 0.25 Combine like terms: -5.444444444 + 0.25 = -5.194444444 0.25 + -0.1111111111x + x2 = -5.194444444 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -5.194444444 Can't calculate square root of the right side. The solution to this equation could not be determined.
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