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Simplifying 6x2 + 5x + -8 + -8x2 + -2x + -10 = 0 Reorder the terms: -8 + -10 + 5x + -2x + 6x2 + -8x2 = 0 Combine like terms: -8 + -10 = -18 -18 + 5x + -2x + 6x2 + -8x2 = 0 Combine like terms: 5x + -2x = 3x -18 + 3x + 6x2 + -8x2 = 0 Combine like terms: 6x2 + -8x2 = -2x2 -18 + 3x + -2x2 = 0 Solving -18 + 3x + -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'. 9 + -1.5x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -1.5x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -1.5x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1.5x + x2 = 0 + -9 -1.5x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -1.5x + x2 = -9 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -9 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -9 + 0.5625 Combine like terms: -9 + 0.5625 = -8.4375 0.5625 + -1.5x + x2 = -8.4375 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -8.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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