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Simplifying 4(x + -3) + (x + -1)(x + 2) = x + -5(3 + -1x) Reorder the terms: 4(-3 + x) + (x + -1)(x + 2) = x + -5(3 + -1x) (-3 * 4 + x * 4) + (x + -1)(x + 2) = x + -5(3 + -1x) (-12 + 4x) + (x + -1)(x + 2) = x + -5(3 + -1x) Reorder the terms: -12 + 4x + (-1 + x)(x + 2) = x + -5(3 + -1x) Reorder the terms: -12 + 4x + (-1 + x)(2 + x) = x + -5(3 + -1x) Multiply (-1 + x) * (2 + x) -12 + 4x + (-1(2 + x) + x(2 + x)) = x + -5(3 + -1x) -12 + 4x + ((2 * -1 + x * -1) + x(2 + x)) = x + -5(3 + -1x) -12 + 4x + ((-2 + -1x) + x(2 + x)) = x + -5(3 + -1x) -12 + 4x + (-2 + -1x + (2 * x + x * x)) = x + -5(3 + -1x) -12 + 4x + (-2 + -1x + (2x + x2)) = x + -5(3 + -1x) Combine like terms: -1x + 2x = 1x -12 + 4x + (-2 + 1x + x2) = x + -5(3 + -1x) Reorder the terms: -12 + -2 + 4x + 1x + x2 = x + -5(3 + -1x) Combine like terms: -12 + -2 = -14 -14 + 4x + 1x + x2 = x + -5(3 + -1x) Combine like terms: 4x + 1x = 5x -14 + 5x + x2 = x + -5(3 + -1x) -14 + 5x + x2 = x + (3 * -5 + -1x * -5) -14 + 5x + x2 = x + (-15 + 5x) Reorder the terms: -14 + 5x + x2 = -15 + x + 5x Combine like terms: x + 5x = 6x -14 + 5x + x2 = -15 + 6x Solving -14 + 5x + x2 = -15 + 6x Solving for variable 'x'. Reorder the terms: -14 + 15 + 5x + -6x + x2 = -15 + 6x + 15 + -6x Combine like terms: -14 + 15 = 1 1 + 5x + -6x + x2 = -15 + 6x + 15 + -6x Combine like terms: 5x + -6x = -1x 1 + -1x + x2 = -15 + 6x + 15 + -6x Reorder the terms: 1 + -1x + x2 = -15 + 15 + 6x + -6x Combine like terms: -15 + 15 = 0 1 + -1x + x2 = 0 + 6x + -6x 1 + -1x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 1 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x + x2 = 0 + -1 -1x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x + x2 = -1 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -1 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + -1x + x2 = -0.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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