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Simplifying (x + -2x2 + -5) + (2x + x2) = 0 Reorder the terms: (-5 + x + -2x2) + (2x + x2) = 0 Remove parenthesis around (-5 + x + -2x2) -5 + x + -2x2 + (2x + x2) = 0 Remove parenthesis around (2x + x2) -5 + x + -2x2 + 2x + x2 = 0 Reorder the terms: -5 + x + 2x + -2x2 + x2 = 0 Combine like terms: x + 2x = 3x -5 + 3x + -2x2 + x2 = 0 Combine like terms: -2x2 + x2 = -1x2 -5 + 3x + -1x2 = 0 Solving -5 + 3x + -1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 5 + -3x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -3x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -3x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x + x2 = 0 + -5 -3x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -3x + x2 = -5 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -5 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -5 + 2.25 Combine like terms: -5 + 2.25 = -2.75 2.25 + -3x + x2 = -2.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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