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Simplifying 14 + -1(x + -7x + 3)(x + -1) = 0 Reorder the terms: 14 + -1(3 + x + -7x)(x + -1) = 0 Combine like terms: x + -7x = -6x 14 + -1(3 + -6x)(x + -1) = 0 Reorder the terms: 14 + -1(3 + -6x)(-1 + x) = 0 Multiply (3 + -6x) * (-1 + x) 14 + -1(3(-1 + x) + -6x * (-1 + x)) = 0 14 + -1((-1 * 3 + x * 3) + -6x * (-1 + x)) = 0 14 + -1((-3 + 3x) + -6x * (-1 + x)) = 0 14 + -1(-3 + 3x + (-1 * -6x + x * -6x)) = 0 14 + -1(-3 + 3x + (6x + -6x2)) = 0 Combine like terms: 3x + 6x = 9x 14 + -1(-3 + 9x + -6x2) = 0 14 + (-3 * -1 + 9x * -1 + -6x2 * -1) = 0 14 + (3 + -9x + 6x2) = 0 Combine like terms: 14 + 3 = 17 17 + -9x + 6x2 = 0 Solving 17 + -9x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2.833333333 + -1.5x + x2 = 0 Move the constant term to the right: Add '-2.833333333' to each side of the equation. 2.833333333 + -1.5x + -2.833333333 + x2 = 0 + -2.833333333 Reorder the terms: 2.833333333 + -2.833333333 + -1.5x + x2 = 0 + -2.833333333 Combine like terms: 2.833333333 + -2.833333333 = 0.000000000 0.000000000 + -1.5x + x2 = 0 + -2.833333333 -1.5x + x2 = 0 + -2.833333333 Combine like terms: 0 + -2.833333333 = -2.833333333 -1.5x + x2 = -2.833333333 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 = -2.833333333 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -2.833333333 + 0.5625 Combine like terms: -2.833333333 + 0.5625 = -2.270833333 0.5625 + -1.5x + x2 = -2.270833333 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -2.270833333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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