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Simplifying (11x2 + -4x + 1) + -1(-1x2 + 5x + -7) = 0 Reorder the terms: (1 + -4x + 11x2) + -1(-1x2 + 5x + -7) = 0 Remove parenthesis around (1 + -4x + 11x2) 1 + -4x + 11x2 + -1(-1x2 + 5x + -7) = 0 Reorder the terms: 1 + -4x + 11x2 + -1(-7 + 5x + -1x2) = 0 1 + -4x + 11x2 + (-7 * -1 + 5x * -1 + -1x2 * -1) = 0 1 + -4x + 11x2 + (7 + -5x + 1x2) = 0 Reorder the terms: 1 + 7 + -4x + -5x + 11x2 + 1x2 = 0 Combine like terms: 1 + 7 = 8 8 + -4x + -5x + 11x2 + 1x2 = 0 Combine like terms: -4x + -5x = -9x 8 + -9x + 11x2 + 1x2 = 0 Combine like terms: 11x2 + 1x2 = 12x2 8 + -9x + 12x2 = 0 Solving 8 + -9x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.6666666667 + -0.75x + x2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + -0.75x + -0.6666666667 + x2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + -0.75x + x2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + -0.75x + x2 = 0 + -0.6666666667 -0.75x + x2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 -0.75x + x2 = -0.6666666667 The x term is -0.75x. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x + 0.140625 + x2 = -0.6666666667 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -0.6666666667 + 0.140625 Combine like terms: -0.6666666667 + 0.140625 = -0.5260416667 0.140625 + -0.75x + x2 = -0.5260416667 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -0.5260416667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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