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Simplifying (-3u2 + -6u + -5) + -1(-2u2 + 4u + 3) + (-7u2 + -4u + -8) = 0 Reorder the terms: (-5 + -6u + -3u2) + -1(-2u2 + 4u + 3) + (-7u2 + -4u + -8) = 0 Remove parenthesis around (-5 + -6u + -3u2) -5 + -6u + -3u2 + -1(-2u2 + 4u + 3) + (-7u2 + -4u + -8) = 0 Reorder the terms: -5 + -6u + -3u2 + -1(3 + 4u + -2u2) + (-7u2 + -4u + -8) = 0 -5 + -6u + -3u2 + (3 * -1 + 4u * -1 + -2u2 * -1) + (-7u2 + -4u + -8) = 0 -5 + -6u + -3u2 + (-3 + -4u + 2u2) + (-7u2 + -4u + -8) = 0 Reorder the terms: -5 + -6u + -3u2 + -3 + -4u + 2u2 + (-8 + -4u + -7u2) = 0 Remove parenthesis around (-8 + -4u + -7u2) -5 + -6u + -3u2 + -3 + -4u + 2u2 + -8 + -4u + -7u2 = 0 Reorder the terms: -5 + -3 + -8 + -6u + -4u + -4u + -3u2 + 2u2 + -7u2 = 0 Combine like terms: -5 + -3 = -8 -8 + -8 + -6u + -4u + -4u + -3u2 + 2u2 + -7u2 = 0 Combine like terms: -8 + -8 = -16 -16 + -6u + -4u + -4u + -3u2 + 2u2 + -7u2 = 0 Combine like terms: -6u + -4u = -10u -16 + -10u + -4u + -3u2 + 2u2 + -7u2 = 0 Combine like terms: -10u + -4u = -14u -16 + -14u + -3u2 + 2u2 + -7u2 = 0 Combine like terms: -3u2 + 2u2 = -1u2 -16 + -14u + -1u2 + -7u2 = 0 Combine like terms: -1u2 + -7u2 = -8u2 -16 + -14u + -8u2 = 0 Solving -16 + -14u + -8u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '-2'. -2(8 + 7u + 4u2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(8 + 7u + 4u2)' equal to zero and attempt to solve: Simplifying 8 + 7u + 4u2 = 0 Solving 8 + 7u + 4u2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2 + 1.75u + u2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 1.75u + -2 + u2 = 0 + -2 Reorder the terms: 2 + -2 + 1.75u + u2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1.75u + u2 = 0 + -2 1.75u + u2 = 0 + -2 Combine like terms: 0 + -2 = -2 1.75u + u2 = -2 The u term is 1.75u. Take half its coefficient (0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. 1.75u + 0.765625 + u2 = -2 + 0.765625 Reorder the terms: 0.765625 + 1.75u + u2 = -2 + 0.765625 Combine like terms: -2 + 0.765625 = -1.234375 0.765625 + 1.75u + u2 = -1.234375 Factor a perfect square on the left side: (u + 0.875)(u + 0.875) = -1.234375 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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