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Simplifying (x + -2x2 + -5) + (2x + -1x2) = 0 Reorder the terms: (-5 + x + -2x2) + (2x + -1x2) = 0 Remove parenthesis around (-5 + x + -2x2) -5 + x + -2x2 + (2x + -1x2) = 0 Remove parenthesis around (2x + -1x2) -5 + x + -2x2 + 2x + -1x2 = 0 Reorder the terms: -5 + x + 2x + -2x2 + -1x2 = 0 Combine like terms: x + 2x = 3x -5 + 3x + -2x2 + -1x2 = 0 Combine like terms: -2x2 + -1x2 = -3x2 -5 + 3x + -3x2 = 0 Solving -5 + 3x + -3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 1.666666667 + -1x + x2 = 0 Move the constant term to the right: Add '-1.666666667' to each side of the equation. 1.666666667 + -1x + -1.666666667 + x2 = 0 + -1.666666667 Reorder the terms: 1.666666667 + -1.666666667 + -1x + x2 = 0 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + -1x + x2 = 0 + -1.666666667 -1x + x2 = 0 + -1.666666667 Combine like terms: 0 + -1.666666667 = -1.666666667 -1x + x2 = -1.666666667 The x term is -1x. 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. -1x + 0.25 + x2 = -1.666666667 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -1.666666667 + 0.25 Combine like terms: -1.666666667 + 0.25 = -1.416666667 0.25 + -1x + x2 = -1.416666667 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -1.416666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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