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Simplifying x2 + -10x2 + 36x + -40 = 0 Reorder the terms: -40 + 36x + x2 + -10x2 = 0 Combine like terms: x2 + -10x2 = -9x2 -40 + 36x + -9x2 = 0 Solving -40 + 36x + -9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 4.444444444 + -4x + x2 = 0 Move the constant term to the right: Add '-4.444444444' to each side of the equation. 4.444444444 + -4x + -4.444444444 + x2 = 0 + -4.444444444 Reorder the terms: 4.444444444 + -4.444444444 + -4x + x2 = 0 + -4.444444444 Combine like terms: 4.444444444 + -4.444444444 = 0.000000000 0.000000000 + -4x + x2 = 0 + -4.444444444 -4x + x2 = 0 + -4.444444444 Combine like terms: 0 + -4.444444444 = -4.444444444 -4x + x2 = -4.444444444 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -4.444444444 + 4 Reorder the terms: 4 + -4x + x2 = -4.444444444 + 4 Combine like terms: -4.444444444 + 4 = -0.444444444 4 + -4x + x2 = -0.444444444 Factor a perfect square on the left side: (x + -2)(x + -2) = -0.444444444 Can't calculate square root of the right side. The solution to this equation could not be determined.
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