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Simplifying 2x2 + -16x + 49 = 0 Reorder the terms: 49 + -16x + 2x2 = 0 Solving 49 + -16x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 24.5 + -8x + x2 = 0 Move the constant term to the right: Add '-24.5' to each side of the equation. 24.5 + -8x + -24.5 + x2 = 0 + -24.5 Reorder the terms: 24.5 + -24.5 + -8x + x2 = 0 + -24.5 Combine like terms: 24.5 + -24.5 = 0.0 0.0 + -8x + x2 = 0 + -24.5 -8x + x2 = 0 + -24.5 Combine like terms: 0 + -24.5 = -24.5 -8x + x2 = -24.5 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -24.5 + 16 Reorder the terms: 16 + -8x + x2 = -24.5 + 16 Combine like terms: -24.5 + 16 = -8.5 16 + -8x + x2 = -8.5 Factor a perfect square on the left side: (x + -4)(x + -4) = -8.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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