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Simplifying 64u2 + 256du = 320u + 1120d Reorder the terms: 256du + 64u2 = 320u + 1120d Reorder the terms: 256du + 64u2 = 1120d + 320u Solving 256du + 64u2 = 1120d + 320u Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1120d' to each side of the equation. 256du + -1120d + 64u2 = 1120d + -1120d + 320u Reorder the terms: -1120d + 256du + 64u2 = 1120d + -1120d + 320u Combine like terms: 1120d + -1120d = 0 -1120d + 256du + 64u2 = 0 + 320u -1120d + 256du + 64u2 = 320u Add '-64u2' to each side of the equation. -1120d + 256du + 64u2 + -64u2 = 320u + -64u2 Combine like terms: 64u2 + -64u2 = 0 -1120d + 256du + 0 = 320u + -64u2 -1120d + 256du = 320u + -64u2 Reorder the terms: -1120d + 256du + -320u + 64u2 = 320u + -320u + -64u2 + 64u2 Combine like terms: 320u + -320u = 0 -1120d + 256du + -320u + 64u2 = 0 + -64u2 + 64u2 -1120d + 256du + -320u + 64u2 = -64u2 + 64u2 Combine like terms: -64u2 + 64u2 = 0 -1120d + 256du + -320u + 64u2 = 0 Factor out the Greatest Common Factor (GCF), '32'. 32(-35d + 8du + -10u + 2u2) = 0 Ignore the factor 32.Subproblem 1
Set the factor '(-35d + 8du + -10u + 2u2)' equal to zero and attempt to solve: Simplifying -35d + 8du + -10u + 2u2 = 0 Solving -35d + 8du + -10u + 2u2 = 0 Move all terms containing d to the left, all other terms to the right. Add '10u' to each side of the equation. -35d + 8du + -10u + 10u + 2u2 = 0 + 10u Combine like terms: -10u + 10u = 0 -35d + 8du + 0 + 2u2 = 0 + 10u -35d + 8du + 2u2 = 0 + 10u Remove the zero: -35d + 8du + 2u2 = 10u Add '-2u2' to each side of the equation. -35d + 8du + 2u2 + -2u2 = 10u + -2u2 Combine like terms: 2u2 + -2u2 = 0 -35d + 8du + 0 = 10u + -2u2 -35d + 8du = 10u + -2u2 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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