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Simplifying x2 + 27 = 2(3x + -1) Reorder the terms: 27 + x2 = 2(3x + -1) Reorder the terms: 27 + x2 = 2(-1 + 3x) 27 + x2 = (-1 * 2 + 3x * 2) 27 + x2 = (-2 + 6x) Solving 27 + x2 = -2 + 6x Solving for variable 'x'. Reorder the terms: 27 + 2 + -6x + x2 = -2 + 6x + 2 + -6x Combine like terms: 27 + 2 = 29 29 + -6x + x2 = -2 + 6x + 2 + -6x Reorder the terms: 29 + -6x + x2 = -2 + 2 + 6x + -6x Combine like terms: -2 + 2 = 0 29 + -6x + x2 = 0 + 6x + -6x 29 + -6x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 29 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + -6x + -29 + x2 = 0 + -29 Reorder the terms: 29 + -29 + -6x + x2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -6x + x2 = 0 + -29 -6x + x2 = 0 + -29 Combine like terms: 0 + -29 = -29 -6x + x2 = -29 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -29 + 9 Reorder the terms: 9 + -6x + x2 = -29 + 9 Combine like terms: -29 + 9 = -20 9 + -6x + x2 = -20 Factor a perfect square on the left side: (x + -3)(x + -3) = -20 Can't calculate square root of the right side. The solution to this equation could not be determined.
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