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Simplifying x + -2x2 = 32 Solving x + -2x2 = 32 Solving for variable 'x'. Reorder the terms: -32 + x + -2x2 = 32 + -32 Combine like terms: 32 + -32 = 0 -32 + x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 16 + -0.5x + x2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + -0.5x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + -0.5x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -0.5x + x2 = 0 + -16 -0.5x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -0.5x + x2 = -16 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 = -16 + 0.25 Reorder the terms: 0.25 + -0.5x + x2 = -16 + 0.25 Combine like terms: -16 + 0.25 = -15.75 0.25 + -0.5x + x2 = -15.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -15.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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