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Simplifying -29x2 + 60x + -40 = 0 Reorder the terms: -40 + 60x + -29x2 = 0 Solving -40 + 60x + -29x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -29 the coefficient of the squared term: Divide each side by '-29'. 1.379310345 + -2.068965517x + x2 = 0 Move the constant term to the right: Add '-1.379310345' to each side of the equation. 1.379310345 + -2.068965517x + -1.379310345 + x2 = 0 + -1.379310345 Reorder the terms: 1.379310345 + -1.379310345 + -2.068965517x + x2 = 0 + -1.379310345 Combine like terms: 1.379310345 + -1.379310345 = 0.000000000 0.000000000 + -2.068965517x + x2 = 0 + -1.379310345 -2.068965517x + x2 = 0 + -1.379310345 Combine like terms: 0 + -1.379310345 = -1.379310345 -2.068965517x + x2 = -1.379310345 The x term is -2.068965517x. Take half its coefficient (-1.034482759). Square it (1.070154579) and add it to both sides. Add '1.070154579' to each side of the equation. -2.068965517x + 1.070154579 + x2 = -1.379310345 + 1.070154579 Reorder the terms: 1.070154579 + -2.068965517x + x2 = -1.379310345 + 1.070154579 Combine like terms: -1.379310345 + 1.070154579 = -0.309155766 1.070154579 + -2.068965517x + x2 = -0.309155766 Factor a perfect square on the left side: (x + -1.034482759)(x + -1.034482759) = -0.309155766 Can't calculate square root of the right side. The solution to this equation could not be determined.
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