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Simplifying (2x * x + -13x + 7) + -1(1 + -12x) = 0 Multiply x * x (2x2 + -13x + 7) + -1(1 + -12x) = 0 Reorder the terms: (7 + -13x + 2x2) + -1(1 + -12x) = 0 Remove parenthesis around (7 + -13x + 2x2) 7 + -13x + 2x2 + -1(1 + -12x) = 0 7 + -13x + 2x2 + (1 * -1 + -12x * -1) = 0 7 + -13x + 2x2 + (-1 + 12x) = 0 Reorder the terms: 7 + -1 + -13x + 12x + 2x2 = 0 Combine like terms: 7 + -1 = 6 6 + -13x + 12x + 2x2 = 0 Combine like terms: -13x + 12x = -1x 6 + -1x + 2x2 = 0 Solving 6 + -1x + 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'. 3 + -0.5x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -0.5x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + -0.5x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -0.5x + x2 = 0 + -3 -0.5x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -0.5x + x2 = -3 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -3 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -3 + 0.0625 Combine like terms: -3 + 0.0625 = -2.9375 0.0625 + -0.5x + x2 = -2.9375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -2.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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