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Simplifying 42x2 + 41x + 15 = 0 Reorder the terms: 15 + 41x + 42x2 = 0 Solving 15 + 41x + 42x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 42 the coefficient of the squared term: Divide each side by '42'. 0.3571428571 + 0.9761904762x + x2 = 0 Move the constant term to the right: Add '-0.3571428571' to each side of the equation. 0.3571428571 + 0.9761904762x + -0.3571428571 + x2 = 0 + -0.3571428571 Reorder the terms: 0.3571428571 + -0.3571428571 + 0.9761904762x + x2 = 0 + -0.3571428571 Combine like terms: 0.3571428571 + -0.3571428571 = 0.0000000000 0.0000000000 + 0.9761904762x + x2 = 0 + -0.3571428571 0.9761904762x + x2 = 0 + -0.3571428571 Combine like terms: 0 + -0.3571428571 = -0.3571428571 0.9761904762x + x2 = -0.3571428571 The x term is 0.9761904762x. Take half its coefficient (0.4880952381). Square it (0.2382369615) and add it to both sides. Add '0.2382369615' to each side of the equation. 0.9761904762x + 0.2382369615 + x2 = -0.3571428571 + 0.2382369615 Reorder the terms: 0.2382369615 + 0.9761904762x + x2 = -0.3571428571 + 0.2382369615 Combine like terms: -0.3571428571 + 0.2382369615 = -0.1189058956 0.2382369615 + 0.9761904762x + x2 = -0.1189058956 Factor a perfect square on the left side: (x + 0.4880952381)(x + 0.4880952381) = -0.1189058956 Can't calculate square root of the right side. The solution to this equation could not be determined.
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