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Simplifying -2x2 + 12x + -23 = 0 Reorder the terms: -23 + 12x + -2x2 = 0 Solving -23 + 12x + -2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 11.5 + -6x + x2 = 0 Move the constant term to the right: Add '-11.5' to each side of the equation. 11.5 + -6x + -11.5 + x2 = 0 + -11.5 Reorder the terms: 11.5 + -11.5 + -6x + x2 = 0 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + -6x + x2 = 0 + -11.5 -6x + x2 = 0 + -11.5 Combine like terms: 0 + -11.5 = -11.5 -6x + x2 = -11.5 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -11.5 + 9 Reorder the terms: 9 + -6x + x2 = -11.5 + 9 Combine like terms: -11.5 + 9 = -2.5 9 + -6x + x2 = -2.5 Factor a perfect square on the left side: (x + -3)(x + -3) = -2.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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