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Simplifying 25x2 + 43x + 26 = 0 Reorder the terms: 26 + 43x + 25x2 = 0 Solving 26 + 43x + 25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 1.04 + 1.72x + x2 = 0 Move the constant term to the right: Add '-1.04' to each side of the equation. 1.04 + 1.72x + -1.04 + x2 = 0 + -1.04 Reorder the terms: 1.04 + -1.04 + 1.72x + x2 = 0 + -1.04 Combine like terms: 1.04 + -1.04 = 0.00 0.00 + 1.72x + x2 = 0 + -1.04 1.72x + x2 = 0 + -1.04 Combine like terms: 0 + -1.04 = -1.04 1.72x + x2 = -1.04 The x term is 1.72x. Take half its coefficient (0.86). Square it (0.7396) and add it to both sides. Add '0.7396' to each side of the equation. 1.72x + 0.7396 + x2 = -1.04 + 0.7396 Reorder the terms: 0.7396 + 1.72x + x2 = -1.04 + 0.7396 Combine like terms: -1.04 + 0.7396 = -0.3004 0.7396 + 1.72x + x2 = -0.3004 Factor a perfect square on the left side: (x + 0.86)(x + 0.86) = -0.3004 Can't calculate square root of the right side. The solution to this equation could not be determined.
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