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Simplifying x2 + -3x + 41 = x + 12 Reorder the terms: 41 + -3x + x2 = x + 12 Reorder the terms: 41 + -3x + x2 = 12 + x Solving 41 + -3x + x2 = 12 + x Solving for variable 'x'. Reorder the terms: 41 + -12 + -3x + -1x + x2 = 12 + x + -12 + -1x Combine like terms: 41 + -12 = 29 29 + -3x + -1x + x2 = 12 + x + -12 + -1x Combine like terms: -3x + -1x = -4x 29 + -4x + x2 = 12 + x + -12 + -1x Reorder the terms: 29 + -4x + x2 = 12 + -12 + x + -1x Combine like terms: 12 + -12 = 0 29 + -4x + x2 = 0 + x + -1x 29 + -4x + x2 = x + -1x Combine like terms: x + -1x = 0 29 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + -4x + -29 + x2 = 0 + -29 Reorder the terms: 29 + -29 + -4x + x2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -4x + x2 = 0 + -29 -4x + x2 = 0 + -29 Combine like terms: 0 + -29 = -29 -4x + x2 = -29 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -29 + 4 Reorder the terms: 4 + -4x + x2 = -29 + 4 Combine like terms: -29 + 4 = -25 4 + -4x + x2 = -25 Factor a perfect square on the left side: (x + -2)(x + -2) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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