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Simplifying 45x2 + -180x + 180 + 9x + -18 + 5 = 0 Reorder the terms: 180 + -18 + 5 + -180x + 9x + 45x2 = 0 Combine like terms: 180 + -18 = 162 162 + 5 + -180x + 9x + 45x2 = 0 Combine like terms: 162 + 5 = 167 167 + -180x + 9x + 45x2 = 0 Combine like terms: -180x + 9x = -171x 167 + -171x + 45x2 = 0 Solving 167 + -171x + 45x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 45 the coefficient of the squared term: Divide each side by '45'. 3.711111111 + -3.8x + x2 = 0 Move the constant term to the right: Add '-3.711111111' to each side of the equation. 3.711111111 + -3.8x + -3.711111111 + x2 = 0 + -3.711111111 Reorder the terms: 3.711111111 + -3.711111111 + -3.8x + x2 = 0 + -3.711111111 Combine like terms: 3.711111111 + -3.711111111 = 0.000000000 0.000000000 + -3.8x + x2 = 0 + -3.711111111 -3.8x + x2 = 0 + -3.711111111 Combine like terms: 0 + -3.711111111 = -3.711111111 -3.8x + x2 = -3.711111111 The x term is -3.8x. Take half its coefficient (-1.9). Square it (3.61) and add it to both sides. Add '3.61' to each side of the equation. -3.8x + 3.61 + x2 = -3.711111111 + 3.61 Reorder the terms: 3.61 + -3.8x + x2 = -3.711111111 + 3.61 Combine like terms: -3.711111111 + 3.61 = -0.101111111 3.61 + -3.8x + x2 = -0.101111111 Factor a perfect square on the left side: (x + -1.9)(x + -1.9) = -0.101111111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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