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Simplifying (5u2 + 2) + -1(7u2 + -4u + 6) = 0 Reorder the terms: (2 + 5u2) + -1(7u2 + -4u + 6) = 0 Remove parenthesis around (2 + 5u2) 2 + 5u2 + -1(7u2 + -4u + 6) = 0 Reorder the terms: 2 + 5u2 + -1(6 + -4u + 7u2) = 0 2 + 5u2 + (6 * -1 + -4u * -1 + 7u2 * -1) = 0 2 + 5u2 + (-6 + 4u + -7u2) = 0 Reorder the terms: 2 + -6 + 4u + 5u2 + -7u2 = 0 Combine like terms: 2 + -6 = -4 -4 + 4u + 5u2 + -7u2 = 0 Combine like terms: 5u2 + -7u2 = -2u2 -4 + 4u + -2u2 = 0 Solving -4 + 4u + -2u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 2u + -1u2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 2u + -1u2)' equal to zero and attempt to solve: Simplifying -2 + 2u + -1u2 = 0 Solving -2 + 2u + -1u2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 2 + -2u + u2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2u + -2 + u2 = 0 + -2 Reorder the terms: 2 + -2 + -2u + u2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2u + u2 = 0 + -2 -2u + u2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2u + u2 = -2 The u term is -2u. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2u + 1 + u2 = -2 + 1 Reorder the terms: 1 + -2u + u2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + -2u + u2 = -1 Factor a perfect square on the left side: (u + -1)(u + -1) = -1 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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