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Simplifying x2 + -3x + 16 = x + 1 Reorder the terms: 16 + -3x + x2 = x + 1 Reorder the terms: 16 + -3x + x2 = 1 + x Solving 16 + -3x + x2 = 1 + x Solving for variable 'x'. Reorder the terms: 16 + -1 + -3x + -1x + x2 = 1 + x + -1 + -1x Combine like terms: 16 + -1 = 15 15 + -3x + -1x + x2 = 1 + x + -1 + -1x Combine like terms: -3x + -1x = -4x 15 + -4x + x2 = 1 + x + -1 + -1x Reorder the terms: 15 + -4x + x2 = 1 + -1 + x + -1x Combine like terms: 1 + -1 = 0 15 + -4x + x2 = 0 + x + -1x 15 + -4x + x2 = x + -1x Combine like terms: x + -1x = 0 15 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + -4x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -4x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4x + x2 = 0 + -15 -4x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -4x + x2 = -15 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 = -15 + 4 Reorder the terms: 4 + -4x + x2 = -15 + 4 Combine like terms: -15 + 4 = -11 4 + -4x + x2 = -11 Factor a perfect square on the left side: (x + -2)(x + -2) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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