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Simplifying -3x2 + 24x + -52 = 0 Reorder the terms: -52 + 24x + -3x2 = 0 Solving -52 + 24x + -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'. 17.33333333 + -8x + x2 = 0 Move the constant term to the right: Add '-17.33333333' to each side of the equation. 17.33333333 + -8x + -17.33333333 + x2 = 0 + -17.33333333 Reorder the terms: 17.33333333 + -17.33333333 + -8x + x2 = 0 + -17.33333333 Combine like terms: 17.33333333 + -17.33333333 = 0.00000000 0.00000000 + -8x + x2 = 0 + -17.33333333 -8x + x2 = 0 + -17.33333333 Combine like terms: 0 + -17.33333333 = -17.33333333 -8x + x2 = -17.33333333 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -17.33333333 + 16 Reorder the terms: 16 + -8x + x2 = -17.33333333 + 16 Combine like terms: -17.33333333 + 16 = -1.33333333 16 + -8x + x2 = -1.33333333 Factor a perfect square on the left side: (x + -4)(x + -4) = -1.33333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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