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Simplifying 25x2 + 45x = -169 Reorder the terms: 45x + 25x2 = -169 Solving 45x + 25x2 = -169 Solving for variable 'x'. Reorder the terms: 169 + 45x + 25x2 = -169 + 169 Combine like terms: -169 + 169 = 0 169 + 45x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 6.76 + 1.8x + x2 = 0 Move the constant term to the right: Add '-6.76' to each side of the equation. 6.76 + 1.8x + -6.76 + x2 = 0 + -6.76 Reorder the terms: 6.76 + -6.76 + 1.8x + x2 = 0 + -6.76 Combine like terms: 6.76 + -6.76 = 0.00 0.00 + 1.8x + x2 = 0 + -6.76 1.8x + x2 = 0 + -6.76 Combine like terms: 0 + -6.76 = -6.76 1.8x + x2 = -6.76 The x term is 1.8x. Take half its coefficient (0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. 1.8x + 0.81 + x2 = -6.76 + 0.81 Reorder the terms: 0.81 + 1.8x + x2 = -6.76 + 0.81 Combine like terms: -6.76 + 0.81 = -5.95 0.81 + 1.8x + x2 = -5.95 Factor a perfect square on the left side: (x + 0.9)(x + 0.9) = -5.95 Can't calculate square root of the right side. The solution to this equation could not be determined.
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