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Simplifying 3x(4 + -1x) + -11 = 2x + -1(2 + -3x) (4 * 3x + -1x * 3x) + -11 = 2x + -1(2 + -3x) (12x + -3x2) + -11 = 2x + -1(2 + -3x) Reorder the terms: -11 + 12x + -3x2 = 2x + -1(2 + -3x) -11 + 12x + -3x2 = 2x + (2 * -1 + -3x * -1) -11 + 12x + -3x2 = 2x + (-2 + 3x) Reorder the terms: -11 + 12x + -3x2 = -2 + 2x + 3x Combine like terms: 2x + 3x = 5x -11 + 12x + -3x2 = -2 + 5x Solving -11 + 12x + -3x2 = -2 + 5x Solving for variable 'x'. Reorder the terms: -11 + 2 + 12x + -5x + -3x2 = -2 + 5x + 2 + -5x Combine like terms: -11 + 2 = -9 -9 + 12x + -5x + -3x2 = -2 + 5x + 2 + -5x Combine like terms: 12x + -5x = 7x -9 + 7x + -3x2 = -2 + 5x + 2 + -5x Reorder the terms: -9 + 7x + -3x2 = -2 + 2 + 5x + -5x Combine like terms: -2 + 2 = 0 -9 + 7x + -3x2 = 0 + 5x + -5x -9 + 7x + -3x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 7x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 3 + -2.333333333x + x2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -2.333333333x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + -2.333333333x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2.333333333x + x2 = 0 + -3 -2.333333333x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2.333333333x + x2 = -3 The x term is -2.333333333x. Take half its coefficient (-1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. -2.333333333x + 1.361111112 + x2 = -3 + 1.361111112 Reorder the terms: 1.361111112 + -2.333333333x + x2 = -3 + 1.361111112 Combine like terms: -3 + 1.361111112 = -1.638888888 1.361111112 + -2.333333333x + x2 = -1.638888888 Factor a perfect square on the left side: (x + -1.166666667)(x + -1.166666667) = -1.638888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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