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Simplifying x2 + 12x + 35 = 6x + -1 Reorder the terms: 35 + 12x + x2 = 6x + -1 Reorder the terms: 35 + 12x + x2 = -1 + 6x Solving 35 + 12x + x2 = -1 + 6x Solving for variable 'x'. Reorder the terms: 35 + 1 + 12x + -6x + x2 = -1 + 6x + 1 + -6x Combine like terms: 35 + 1 = 36 36 + 12x + -6x + x2 = -1 + 6x + 1 + -6x Combine like terms: 12x + -6x = 6x 36 + 6x + x2 = -1 + 6x + 1 + -6x Reorder the terms: 36 + 6x + x2 = -1 + 1 + 6x + -6x Combine like terms: -1 + 1 = 0 36 + 6x + x2 = 0 + 6x + -6x 36 + 6x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 36 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + 6x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + 6x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 6x + x2 = 0 + -36 6x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 6x + x2 = -36 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 = -36 + 9 Reorder the terms: 9 + 6x + x2 = -36 + 9 Combine like terms: -36 + 9 = -27 9 + 6x + x2 = -27 Factor a perfect square on the left side: (x + 3)(x + 3) = -27 Can't calculate square root of the right side. The solution to this equation could not be determined.
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