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Simplifying x2 + 9 = 2x2 + -4x + 30 Reorder the terms: 9 + x2 = 2x2 + -4x + 30 Reorder the terms: 9 + x2 = 30 + -4x + 2x2 Solving 9 + x2 = 30 + -4x + 2x2 Solving for variable 'x'. Reorder the terms: 9 + -30 + 4x + x2 + -2x2 = 30 + -4x + 2x2 + -30 + 4x + -2x2 Combine like terms: 9 + -30 = -21 -21 + 4x + x2 + -2x2 = 30 + -4x + 2x2 + -30 + 4x + -2x2 Combine like terms: x2 + -2x2 = -1x2 -21 + 4x + -1x2 = 30 + -4x + 2x2 + -30 + 4x + -2x2 Reorder the terms: -21 + 4x + -1x2 = 30 + -30 + -4x + 4x + 2x2 + -2x2 Combine like terms: 30 + -30 = 0 -21 + 4x + -1x2 = 0 + -4x + 4x + 2x2 + -2x2 -21 + 4x + -1x2 = -4x + 4x + 2x2 + -2x2 Combine like terms: -4x + 4x = 0 -21 + 4x + -1x2 = 0 + 2x2 + -2x2 -21 + 4x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -21 + 4x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 21 + -4x + x2 = 0 Move the constant term to the right: Add '-21' to each side of the equation. 21 + -4x + -21 + x2 = 0 + -21 Reorder the terms: 21 + -21 + -4x + x2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -4x + x2 = 0 + -21 -4x + x2 = 0 + -21 Combine like terms: 0 + -21 = -21 -4x + x2 = -21 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 = -21 + 4 Reorder the terms: 4 + -4x + x2 = -21 + 4 Combine like terms: -21 + 4 = -17 4 + -4x + x2 = -17 Factor a perfect square on the left side: (x + -2)(x + -2) = -17 Can't calculate square root of the right side. The solution to this equation could not be determined.
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