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Simplifying 5x2 + -64x + 208 = 0 Reorder the terms: 208 + -64x + 5x2 = 0 Solving 208 + -64x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 41.6 + -12.8x + x2 = 0 Move the constant term to the right: Add '-41.6' to each side of the equation. 41.6 + -12.8x + -41.6 + x2 = 0 + -41.6 Reorder the terms: 41.6 + -41.6 + -12.8x + x2 = 0 + -41.6 Combine like terms: 41.6 + -41.6 = 0.0 0.0 + -12.8x + x2 = 0 + -41.6 -12.8x + x2 = 0 + -41.6 Combine like terms: 0 + -41.6 = -41.6 -12.8x + x2 = -41.6 The x term is -12.8x. Take half its coefficient (-6.4). Square it (40.96) and add it to both sides. Add '40.96' to each side of the equation. -12.8x + 40.96 + x2 = -41.6 + 40.96 Reorder the terms: 40.96 + -12.8x + x2 = -41.6 + 40.96 Combine like terms: -41.6 + 40.96 = -0.64 40.96 + -12.8x + x2 = -0.64 Factor a perfect square on the left side: (x + -6.4)(x + -6.4) = -0.64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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