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Simplifying (7u2 + -2u + 8) + (4u2 + -2u + 5) + -1(9u2 + 4u + -3) = 0 Reorder the terms: (8 + -2u + 7u2) + (4u2 + -2u + 5) + -1(9u2 + 4u + -3) = 0 Remove parenthesis around (8 + -2u + 7u2) 8 + -2u + 7u2 + (4u2 + -2u + 5) + -1(9u2 + 4u + -3) = 0 Reorder the terms: 8 + -2u + 7u2 + (5 + -2u + 4u2) + -1(9u2 + 4u + -3) = 0 Remove parenthesis around (5 + -2u + 4u2) 8 + -2u + 7u2 + 5 + -2u + 4u2 + -1(9u2 + 4u + -3) = 0 Reorder the terms: 8 + -2u + 7u2 + 5 + -2u + 4u2 + -1(-3 + 4u + 9u2) = 0 8 + -2u + 7u2 + 5 + -2u + 4u2 + (-3 * -1 + 4u * -1 + 9u2 * -1) = 0 8 + -2u + 7u2 + 5 + -2u + 4u2 + (3 + -4u + -9u2) = 0 Reorder the terms: 8 + 5 + 3 + -2u + -2u + -4u + 7u2 + 4u2 + -9u2 = 0 Combine like terms: 8 + 5 = 13 13 + 3 + -2u + -2u + -4u + 7u2 + 4u2 + -9u2 = 0 Combine like terms: 13 + 3 = 16 16 + -2u + -2u + -4u + 7u2 + 4u2 + -9u2 = 0 Combine like terms: -2u + -2u = -4u 16 + -4u + -4u + 7u2 + 4u2 + -9u2 = 0 Combine like terms: -4u + -4u = -8u 16 + -8u + 7u2 + 4u2 + -9u2 = 0 Combine like terms: 7u2 + 4u2 = 11u2 16 + -8u + 11u2 + -9u2 = 0 Combine like terms: 11u2 + -9u2 = 2u2 16 + -8u + 2u2 = 0 Solving 16 + -8u + 2u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -4u + u2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -4u + u2)' equal to zero and attempt to solve: Simplifying 8 + -4u + u2 = 0 Solving 8 + -4u + u2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -4u + -8 + u2 = 0 + -8 Reorder the terms: 8 + -8 + -4u + u2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4u + u2 = 0 + -8 -4u + u2 = 0 + -8 Combine like terms: 0 + -8 = -8 -4u + u2 = -8 The u term is -4u. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4u + 4 + u2 = -8 + 4 Reorder the terms: 4 + -4u + u2 = -8 + 4 Combine like terms: -8 + 4 = -4 4 + -4u + u2 = -4 Factor a perfect square on the left side: (u + -2)(u + -2) = -4 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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