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Simplifying x = 2x2 + 20 + 52 Reorder the terms: x = 20 + 52 + 2x2 Combine like terms: 20 + 52 = 72 x = 72 + 2x2 Solving x = 72 + 2x2 Solving for variable 'x'. Reorder the terms: -72 + x + -2x2 = 72 + 2x2 + -72 + -2x2 Reorder the terms: -72 + x + -2x2 = 72 + -72 + 2x2 + -2x2 Combine like terms: 72 + -72 = 0 -72 + x + -2x2 = 0 + 2x2 + -2x2 -72 + x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -72 + x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 36 + -0.5x + x2 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + -0.5x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + -0.5x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -0.5x + x2 = 0 + -36 -0.5x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 -0.5x + x2 = -36 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.5x + 0.25 + x2 = -36 + 0.25 Reorder the terms: 0.25 + -0.5x + x2 = -36 + 0.25 Combine like terms: -36 + 0.25 = -35.75 0.25 + -0.5x + x2 = -35.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -35.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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