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Simplifying 2x + 6 = x2 + 8 + 12 Reorder the terms: 6 + 2x = x2 + 8 + 12 Reorder the terms: 6 + 2x = 8 + 12 + x2 Combine like terms: 8 + 12 = 20 6 + 2x = 20 + x2 Solving 6 + 2x = 20 + x2 Solving for variable 'x'. Reorder the terms: 6 + -20 + 2x + -1x2 = 20 + x2 + -20 + -1x2 Combine like terms: 6 + -20 = -14 -14 + 2x + -1x2 = 20 + x2 + -20 + -1x2 Reorder the terms: -14 + 2x + -1x2 = 20 + -20 + x2 + -1x2 Combine like terms: 20 + -20 = 0 -14 + 2x + -1x2 = 0 + x2 + -1x2 -14 + 2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -14 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 14 + -2x + x2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + -2x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + -2x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2x + x2 = 0 + -14 -2x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -2x + x2 = -14 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 = -14 + 1 Reorder the terms: 1 + -2x + x2 = -14 + 1 Combine like terms: -14 + 1 = -13 1 + -2x + x2 = -13 Factor a perfect square on the left side: (x + -1)(x + -1) = -13 Can't calculate square root of the right side. The solution to this equation could not be determined.
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