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Simplifying (x + -3)(2 + -1x) = 4x + -1(x + -1) Reorder the terms: (-3 + x)(2 + -1x) = 4x + -1(x + -1) Multiply (-3 + x) * (2 + -1x) (-3(2 + -1x) + x(2 + -1x)) = 4x + -1(x + -1) ((2 * -3 + -1x * -3) + x(2 + -1x)) = 4x + -1(x + -1) ((-6 + 3x) + x(2 + -1x)) = 4x + -1(x + -1) (-6 + 3x + (2 * x + -1x * x)) = 4x + -1(x + -1) (-6 + 3x + (2x + -1x2)) = 4x + -1(x + -1) Combine like terms: 3x + 2x = 5x (-6 + 5x + -1x2) = 4x + -1(x + -1) Reorder the terms: -6 + 5x + -1x2 = 4x + -1(-1 + x) -6 + 5x + -1x2 = 4x + (-1 * -1 + x * -1) -6 + 5x + -1x2 = 4x + (1 + -1x) Reorder the terms: -6 + 5x + -1x2 = 1 + 4x + -1x Combine like terms: 4x + -1x = 3x -6 + 5x + -1x2 = 1 + 3x Solving -6 + 5x + -1x2 = 1 + 3x Solving for variable 'x'. Reorder the terms: -6 + -1 + 5x + -3x + -1x2 = 1 + 3x + -1 + -3x Combine like terms: -6 + -1 = -7 -7 + 5x + -3x + -1x2 = 1 + 3x + -1 + -3x Combine like terms: 5x + -3x = 2x -7 + 2x + -1x2 = 1 + 3x + -1 + -3x Reorder the terms: -7 + 2x + -1x2 = 1 + -1 + 3x + -3x Combine like terms: 1 + -1 = 0 -7 + 2x + -1x2 = 0 + 3x + -3x -7 + 2x + -1x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 7 + -2x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -2x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -2x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x + x2 = 0 + -7 -2x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -2x + x2 = -7 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -7 + 1 Reorder the terms: 1 + -2x + x2 = -7 + 1 Combine like terms: -7 + 1 = -6 1 + -2x + x2 = -6 Factor a perfect square on the left side: (x + -1)(x + -1) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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