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Simplifying (6x2 + 7x + -9) + -1(8x2 + -4x + 7) = 0 Reorder the terms: (-9 + 7x + 6x2) + -1(8x2 + -4x + 7) = 0 Remove parenthesis around (-9 + 7x + 6x2) -9 + 7x + 6x2 + -1(8x2 + -4x + 7) = 0 Reorder the terms: -9 + 7x + 6x2 + -1(7 + -4x + 8x2) = 0 -9 + 7x + 6x2 + (7 * -1 + -4x * -1 + 8x2 * -1) = 0 -9 + 7x + 6x2 + (-7 + 4x + -8x2) = 0 Reorder the terms: -9 + -7 + 7x + 4x + 6x2 + -8x2 = 0 Combine like terms: -9 + -7 = -16 -16 + 7x + 4x + 6x2 + -8x2 = 0 Combine like terms: 7x + 4x = 11x -16 + 11x + 6x2 + -8x2 = 0 Combine like terms: 6x2 + -8x2 = -2x2 -16 + 11x + -2x2 = 0 Solving -16 + 11x + -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'. 8 + -5.5x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -5.5x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -5.5x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5.5x + x2 = 0 + -8 -5.5x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -5.5x + x2 = -8 The x term is -5.5x. Take half its coefficient (-2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. -5.5x + 7.5625 + x2 = -8 + 7.5625 Reorder the terms: 7.5625 + -5.5x + x2 = -8 + 7.5625 Combine like terms: -8 + 7.5625 = -0.4375 7.5625 + -5.5x + x2 = -0.4375 Factor a perfect square on the left side: (x + -2.75)(x + -2.75) = -0.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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