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Simplifying 3x + 67 = x + -1x2 Reorder the terms: 67 + 3x = x + -1x2 Solving 67 + 3x = x + -1x2 Solving for variable 'x'. Combine like terms: 3x + -1x = 2x 67 + 2x + x2 = x + -1x2 + -1x + x2 Reorder the terms: 67 + 2x + x2 = x + -1x + -1x2 + x2 Combine like terms: x + -1x = 0 67 + 2x + x2 = 0 + -1x2 + x2 67 + 2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 67 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-67' to each side of the equation. 67 + 2x + -67 + x2 = 0 + -67 Reorder the terms: 67 + -67 + 2x + x2 = 0 + -67 Combine like terms: 67 + -67 = 0 0 + 2x + x2 = 0 + -67 2x + x2 = 0 + -67 Combine like terms: 0 + -67 = -67 2x + x2 = -67 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -67 + 1 Reorder the terms: 1 + 2x + x2 = -67 + 1 Combine like terms: -67 + 1 = -66 1 + 2x + x2 = -66 Factor a perfect square on the left side: (x + 1)(x + 1) = -66 Can't calculate square root of the right side. The solution to this equation could not be determined.
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