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Simplifying 0 = -2x2 + 9x + -48 Reorder the terms: 0 = -48 + 9x + -2x2 Solving 0 = -48 + 9x + -2x2 Solving for variable 'x'. Combine like terms: 0 + 48 = 48 48 + -9x + 2x2 = -48 + 9x + -2x2 + 48 + -9x + 2x2 Reorder the terms: 48 + -9x + 2x2 = -48 + 48 + 9x + -9x + -2x2 + 2x2 Combine like terms: -48 + 48 = 0 48 + -9x + 2x2 = 0 + 9x + -9x + -2x2 + 2x2 48 + -9x + 2x2 = 9x + -9x + -2x2 + 2x2 Combine like terms: 9x + -9x = 0 48 + -9x + 2x2 = 0 + -2x2 + 2x2 48 + -9x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 48 + -9x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 24 + -4.5x + x2 = 0 Move the constant term to the right: Add '-24' to each side of the equation. 24 + -4.5x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + -4.5x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -4.5x + x2 = 0 + -24 -4.5x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 -4.5x + x2 = -24 The x term is -4.5x. Take half its coefficient (-2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. -4.5x + 5.0625 + x2 = -24 + 5.0625 Reorder the terms: 5.0625 + -4.5x + x2 = -24 + 5.0625 Combine like terms: -24 + 5.0625 = -18.9375 5.0625 + -4.5x + x2 = -18.9375 Factor a perfect square on the left side: (x + -2.25)(x + -2.25) = -18.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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