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Simplifying 25x2 + 11x = -10 Reorder the terms: 11x + 25x2 = -10 Solving 11x + 25x2 = -10 Solving for variable 'x'. Reorder the terms: 10 + 11x + 25x2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 11x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.4 + 0.44x + x2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.44x + -0.4 + x2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.44x + x2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.44x + x2 = 0 + -0.4 0.44x + x2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 0.44x + x2 = -0.4 The x term is 0.44x. Take half its coefficient (0.22). Square it (0.0484) and add it to both sides. Add '0.0484' to each side of the equation. 0.44x + 0.0484 + x2 = -0.4 + 0.0484 Reorder the terms: 0.0484 + 0.44x + x2 = -0.4 + 0.0484 Combine like terms: -0.4 + 0.0484 = -0.3516 0.0484 + 0.44x + x2 = -0.3516 Factor a perfect square on the left side: (x + 0.22)(x + 0.22) = -0.3516 Can't calculate square root of the right side. The solution to this equation could not be determined.
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