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