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Simplifying 4x2 + -25x + 24 = -8x + -9 Reorder the terms: 24 + -25x + 4x2 = -8x + -9 Reorder the terms: 24 + -25x + 4x2 = -9 + -8x Solving 24 + -25x + 4x2 = -9 + -8x Solving for variable 'x'. Reorder the terms: 24 + 9 + -25x + 8x + 4x2 = -9 + -8x + 9 + 8x Combine like terms: 24 + 9 = 33 33 + -25x + 8x + 4x2 = -9 + -8x + 9 + 8x Combine like terms: -25x + 8x = -17x 33 + -17x + 4x2 = -9 + -8x + 9 + 8x Reorder the terms: 33 + -17x + 4x2 = -9 + 9 + -8x + 8x Combine like terms: -9 + 9 = 0 33 + -17x + 4x2 = 0 + -8x + 8x 33 + -17x + 4x2 = -8x + 8x Combine like terms: -8x + 8x = 0 33 + -17x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 8.25 + -4.25x + x2 = 0 Move the constant term to the right: Add '-8.25' to each side of the equation. 8.25 + -4.25x + -8.25 + x2 = 0 + -8.25 Reorder the terms: 8.25 + -8.25 + -4.25x + x2 = 0 + -8.25 Combine like terms: 8.25 + -8.25 = 0.00 0.00 + -4.25x + x2 = 0 + -8.25 -4.25x + x2 = 0 + -8.25 Combine like terms: 0 + -8.25 = -8.25 -4.25x + x2 = -8.25 The x term is -4.25x. Take half its coefficient (-2.125). Square it (4.515625) and add it to both sides. Add '4.515625' to each side of the equation. -4.25x + 4.515625 + x2 = -8.25 + 4.515625 Reorder the terms: 4.515625 + -4.25x + x2 = -8.25 + 4.515625 Combine like terms: -8.25 + 4.515625 = -3.734375 4.515625 + -4.25x + x2 = -3.734375 Factor a perfect square on the left side: (x + -2.125)(x + -2.125) = -3.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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