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Simplifying x2 + 2x + 1 = 6x + -7 + -1 Reorder the terms: 1 + 2x + x2 = 6x + -7 + -1 Reorder the terms: 1 + 2x + x2 = -7 + -1 + 6x Combine like terms: -7 + -1 = -8 1 + 2x + x2 = -8 + 6x Solving 1 + 2x + x2 = -8 + 6x Solving for variable 'x'. Reorder the terms: 1 + 8 + 2x + -6x + x2 = -8 + 6x + 8 + -6x Combine like terms: 1 + 8 = 9 9 + 2x + -6x + x2 = -8 + 6x + 8 + -6x Combine like terms: 2x + -6x = -4x 9 + -4x + x2 = -8 + 6x + 8 + -6x Reorder the terms: 9 + -4x + x2 = -8 + 8 + 6x + -6x Combine like terms: -8 + 8 = 0 9 + -4x + x2 = 0 + 6x + -6x 9 + -4x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 9 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -4x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -4x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x + x2 = 0 + -9 -4x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -4x + x2 = -9 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 = -9 + 4 Reorder the terms: 4 + -4x + x2 = -9 + 4 Combine like terms: -9 + 4 = -5 4 + -4x + x2 = -5 Factor a perfect square on the left side: (x + -2)(x + -2) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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