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Simplifying 5(-8x2 + 3x + 17) + 9(4x2 + -11) + -3 = 247 + -6x Reorder the terms: 5(17 + 3x + -8x2) + 9(4x2 + -11) + -3 = 247 + -6x (17 * 5 + 3x * 5 + -8x2 * 5) + 9(4x2 + -11) + -3 = 247 + -6x (85 + 15x + -40x2) + 9(4x2 + -11) + -3 = 247 + -6x Reorder the terms: 85 + 15x + -40x2 + 9(-11 + 4x2) + -3 = 247 + -6x 85 + 15x + -40x2 + (-11 * 9 + 4x2 * 9) + -3 = 247 + -6x 85 + 15x + -40x2 + (-99 + 36x2) + -3 = 247 + -6x Reorder the terms: 85 + -99 + -3 + 15x + -40x2 + 36x2 = 247 + -6x Combine like terms: 85 + -99 = -14 -14 + -3 + 15x + -40x2 + 36x2 = 247 + -6x Combine like terms: -14 + -3 = -17 -17 + 15x + -40x2 + 36x2 = 247 + -6x Combine like terms: -40x2 + 36x2 = -4x2 -17 + 15x + -4x2 = 247 + -6x Solving -17 + 15x + -4x2 = 247 + -6x Solving for variable 'x'. Reorder the terms: -17 + -247 + 15x + 6x + -4x2 = 247 + -6x + -247 + 6x Combine like terms: -17 + -247 = -264 -264 + 15x + 6x + -4x2 = 247 + -6x + -247 + 6x Combine like terms: 15x + 6x = 21x -264 + 21x + -4x2 = 247 + -6x + -247 + 6x Reorder the terms: -264 + 21x + -4x2 = 247 + -247 + -6x + 6x Combine like terms: 247 + -247 = 0 -264 + 21x + -4x2 = 0 + -6x + 6x -264 + 21x + -4x2 = -6x + 6x Combine like terms: -6x + 6x = 0 -264 + 21x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 66 + -5.25x + x2 = 0 Move the constant term to the right: Add '-66' to each side of the equation. 66 + -5.25x + -66 + x2 = 0 + -66 Reorder the terms: 66 + -66 + -5.25x + x2 = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -5.25x + x2 = 0 + -66 -5.25x + x2 = 0 + -66 Combine like terms: 0 + -66 = -66 -5.25x + x2 = -66 The x term is -5.25x. Take half its coefficient (-2.625). Square it (6.890625) and add it to both sides. Add '6.890625' to each side of the equation. -5.25x + 6.890625 + x2 = -66 + 6.890625 Reorder the terms: 6.890625 + -5.25x + x2 = -66 + 6.890625 Combine like terms: -66 + 6.890625 = -59.109375 6.890625 + -5.25x + x2 = -59.109375 Factor a perfect square on the left side: (x + -2.625)(x + -2.625) = -59.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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