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Simplifying 50 = -0.02x2 + 1.19x Reorder the terms: 50 = 1.19x + -0.02x2 Solving 50 = 1.19x + -0.02x2 Solving for variable 'x'. Reorder the terms: 50 + -1.19x + 0.02x2 = 1.19x + -1.19x + -0.02x2 + 0.02x2 Combine like terms: 1.19x + -1.19x = 0.00 50 + -1.19x + 0.02x2 = 0.00 + -0.02x2 + 0.02x2 50 + -1.19x + 0.02x2 = -0.02x2 + 0.02x2 Combine like terms: -0.02x2 + 0.02x2 = 0.00 50 + -1.19x + 0.02x2 = 0.00 Begin completing the square. Divide all terms by 0.02 the coefficient of the squared term: Divide each side by '0.02'. 2500 + -59.5x + x2 = 0 Move the constant term to the right: Add '-2500' to each side of the equation. 2500 + -59.5x + -2500 + x2 = 0 + -2500 Reorder the terms: 2500 + -2500 + -59.5x + x2 = 0 + -2500 Combine like terms: 2500 + -2500 = 0 0 + -59.5x + x2 = 0 + -2500 -59.5x + x2 = 0 + -2500 Combine like terms: 0 + -2500 = -2500 -59.5x + x2 = -2500 The x term is -59.5x. Take half its coefficient (-29.75). Square it (885.0625) and add it to both sides. Add '885.0625' to each side of the equation. -59.5x + 885.0625 + x2 = -2500 + 885.0625 Reorder the terms: 885.0625 + -59.5x + x2 = -2500 + 885.0625 Combine like terms: -2500 + 885.0625 = -1614.9375 885.0625 + -59.5x + x2 = -1614.9375 Factor a perfect square on the left side: (x + -29.75)(x + -29.75) = -1614.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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