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Simplifying 5(u + -6) + -8 = -6(-5u + 4) * 7u Reorder the terms: 5(-6 + u) + -8 = -6(-5u + 4) * 7u (-6 * 5 + u * 5) + -8 = -6(-5u + 4) * 7u (-30 + 5u) + -8 = -6(-5u + 4) * 7u Reorder the terms: -30 + -8 + 5u = -6(-5u + 4) * 7u Combine like terms: -30 + -8 = -38 -38 + 5u = -6(-5u + 4) * 7u Reorder the terms: -38 + 5u = -6(4 + -5u) * 7u Reorder the terms for easier multiplication: -38 + 5u = -6 * 7u(4 + -5u) Multiply -6 * 7 -38 + 5u = -42u(4 + -5u) -38 + 5u = (4 * -42u + -5u * -42u) -38 + 5u = (-168u + 210u2) Solving -38 + 5u = -168u + 210u2 Solving for variable 'u'. Combine like terms: 5u + 168u = 173u -38 + 173u + -210u2 = -168u + 210u2 + 168u + -210u2 Reorder the terms: -38 + 173u + -210u2 = -168u + 168u + 210u2 + -210u2 Combine like terms: -168u + 168u = 0 -38 + 173u + -210u2 = 0 + 210u2 + -210u2 -38 + 173u + -210u2 = 210u2 + -210u2 Combine like terms: 210u2 + -210u2 = 0 -38 + 173u + -210u2 = 0 Begin completing the square. Divide all terms by -210 the coefficient of the squared term: Divide each side by '-210'. 0.180952381 + -0.8238095238u + u2 = 0 Move the constant term to the right: Add '-0.180952381' to each side of the equation. 0.180952381 + -0.8238095238u + -0.180952381 + u2 = 0 + -0.180952381 Reorder the terms: 0.180952381 + -0.180952381 + -0.8238095238u + u2 = 0 + -0.180952381 Combine like terms: 0.180952381 + -0.180952381 = 0.000000000 0.000000000 + -0.8238095238u + u2 = 0 + -0.180952381 -0.8238095238u + u2 = 0 + -0.180952381 Combine like terms: 0 + -0.180952381 = -0.180952381 -0.8238095238u + u2 = -0.180952381 The u term is -0.8238095238u. Take half its coefficient (-0.4119047619). Square it (0.1696655329) and add it to both sides. Add '0.1696655329' to each side of the equation. -0.8238095238u + 0.1696655329 + u2 = -0.180952381 + 0.1696655329 Reorder the terms: 0.1696655329 + -0.8238095238u + u2 = -0.180952381 + 0.1696655329 Combine like terms: -0.180952381 + 0.1696655329 = -0.0112868481 0.1696655329 + -0.8238095238u + u2 = -0.0112868481 Factor a perfect square on the left side: (u + -0.4119047619)(u + -0.4119047619) = -0.0112868481 Can't calculate square root of the right side. The solution to this equation could not be determined.
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