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Simplifying (2x2 + x + -3) + (x2 + -2x + 3) + -1(x2 + x + 3) + -1(x2 + -3x + -12) = 0 Reorder the terms: (-3 + x + 2x2) + (x2 + -2x + 3) + -1(x2 + x + 3) + -1(x2 + -3x + -12) = 0 Remove parenthesis around (-3 + x + 2x2) -3 + x + 2x2 + (x2 + -2x + 3) + -1(x2 + x + 3) + -1(x2 + -3x + -12) = 0 Reorder the terms: -3 + x + 2x2 + (3 + -2x + x2) + -1(x2 + x + 3) + -1(x2 + -3x + -12) = 0 Remove parenthesis around (3 + -2x + x2) -3 + x + 2x2 + 3 + -2x + x2 + -1(x2 + x + 3) + -1(x2 + -3x + -12) = 0 Reorder the terms: -3 + x + 2x2 + 3 + -2x + x2 + -1(3 + x + x2) + -1(x2 + -3x + -12) = 0 -3 + x + 2x2 + 3 + -2x + x2 + (3 * -1 + x * -1 + x2 * -1) + -1(x2 + -3x + -12) = 0 -3 + x + 2x2 + 3 + -2x + x2 + (-3 + -1x + -1x2) + -1(x2 + -3x + -12) = 0 Reorder the terms: -3 + x + 2x2 + 3 + -2x + x2 + -3 + -1x + -1x2 + -1(-12 + -3x + x2) = 0 -3 + x + 2x2 + 3 + -2x + x2 + -3 + -1x + -1x2 + (-12 * -1 + -3x * -1 + x2 * -1) = 0 -3 + x + 2x2 + 3 + -2x + x2 + -3 + -1x + -1x2 + (12 + 3x + -1x2) = 0 Reorder the terms: -3 + 3 + -3 + 12 + x + -2x + -1x + 3x + 2x2 + x2 + -1x2 + -1x2 = 0 Combine like terms: -3 + 3 = 0 0 + -3 + 12 + x + -2x + -1x + 3x + 2x2 + x2 + -1x2 + -1x2 = 0 -3 + 12 + x + -2x + -1x + 3x + 2x2 + x2 + -1x2 + -1x2 = 0 Combine like terms: -3 + 12 = 9 9 + x + -2x + -1x + 3x + 2x2 + x2 + -1x2 + -1x2 = 0 Combine like terms: x + -2x = -1x 9 + -1x + -1x + 3x + 2x2 + x2 + -1x2 + -1x2 = 0 Combine like terms: -1x + -1x = -2x 9 + -2x + 3x + 2x2 + x2 + -1x2 + -1x2 = 0 Combine like terms: -2x + 3x = 1x 9 + 1x + 2x2 + x2 + -1x2 + -1x2 = 0 Combine like terms: 2x2 + x2 = 3x2 9 + 1x + 3x2 + -1x2 + -1x2 = 0 Combine like terms: 3x2 + -1x2 = 2x2 9 + 1x + 2x2 + -1x2 = 0 Combine like terms: 2x2 + -1x2 = 1x2 9 + 1x + 1x2 = 0 Solving 9 + 1x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + 1x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 1x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 1x + x2 = 0 + -9 1x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 1x + x2 = -9 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. x + 0.25 + x2 = -9 + 0.25 Reorder the terms: 0.25 + x + x2 = -9 + 0.25 Combine like terms: -9 + 0.25 = -8.75 0.25 + x + x2 = -8.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -8.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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