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Simplifying -2u2 + -4u + -98 = 0 Reorder the terms: -98 + -4u + -2u2 = 0 Solving -98 + -4u + -2u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '-2'. -2(49 + 2u + u2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(49 + 2u + u2)' equal to zero and attempt to solve: Simplifying 49 + 2u + u2 = 0 Solving 49 + 2u + u2 = 0 Begin completing the square. Move the constant term to the right: Add '-49' to each side of the equation. 49 + 2u + -49 + u2 = 0 + -49 Reorder the terms: 49 + -49 + 2u + u2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 2u + u2 = 0 + -49 2u + u2 = 0 + -49 Combine like terms: 0 + -49 = -49 2u + u2 = -49 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 = -49 + 1 Reorder the terms: 1 + 2u + u2 = -49 + 1 Combine like terms: -49 + 1 = -48 1 + 2u + u2 = -48 Factor a perfect square on the left side: (u + 1)(u + 1) = -48 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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