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Simplifying 16x2 + -40x + 79 = 0 Reorder the terms: 79 + -40x + 16x2 = 0 Solving 79 + -40x + 16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 4.9375 + -2.5x + x2 = 0 Move the constant term to the right: Add '-4.9375' to each side of the equation. 4.9375 + -2.5x + -4.9375 + x2 = 0 + -4.9375 Reorder the terms: 4.9375 + -4.9375 + -2.5x + x2 = 0 + -4.9375 Combine like terms: 4.9375 + -4.9375 = 0.0000 0.0000 + -2.5x + x2 = 0 + -4.9375 -2.5x + x2 = 0 + -4.9375 Combine like terms: 0 + -4.9375 = -4.9375 -2.5x + x2 = -4.9375 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = -4.9375 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -4.9375 + 1.5625 Combine like terms: -4.9375 + 1.5625 = -3.375 1.5625 + -2.5x + x2 = -3.375 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -3.375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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