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Simplifying (2x) + -1(x2) + -6 = 0 Reorder the terms: -6 + (2x) + -1x2 = 0 Solving -6 + (2x) + -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'. 6 + (-2x) + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + (-2x) + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + (-2x) + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + (-2x) + x2 = 0 + -6 (-2x) + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 (-2x) + x2 = -6 The x term is (-2x). Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. (-2x) + 1 + x2 = -6 + 1 Reorder the terms: 1 + (-2x) + x2 = -6 + 1 Combine like terms: -6 + 1 = -5 1 + (-2x) + x2 = -5 Factor a perfect square on the left side: (x + -1)(x + -1) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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