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Simplifying -2x2 + 24x + -75 = 0 Reorder the terms: -75 + 24x + -2x2 = 0 Solving -75 + 24x + -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'. 37.5 + -12x + x2 = 0 Move the constant term to the right: Add '-37.5' to each side of the equation. 37.5 + -12x + -37.5 + x2 = 0 + -37.5 Reorder the terms: 37.5 + -37.5 + -12x + x2 = 0 + -37.5 Combine like terms: 37.5 + -37.5 = 0.0 0.0 + -12x + x2 = 0 + -37.5 -12x + x2 = 0 + -37.5 Combine like terms: 0 + -37.5 = -37.5 -12x + x2 = -37.5 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = -37.5 + 36 Reorder the terms: 36 + -12x + x2 = -37.5 + 36 Combine like terms: -37.5 + 36 = -1.5 36 + -12x + x2 = -1.5 Factor a perfect square on the left side: (x + -6)(x + -6) = -1.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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