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Simplifying 10u + 7 = 8n(2u + -4) + -9 Reorder the terms: 7 + 10u = 8n(2u + -4) + -9 Reorder the terms: 7 + 10u = 8n(-4 + 2u) + -9 7 + 10u = (-4 * 8n + 2u * 8n) + -9 7 + 10u = (-32n + 16nu) + -9 Reorder the terms: 7 + 10u = -9 + -32n + 16nu Solving 7 + 10u = -9 + -32n + 16nu Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16nu' to each side of the equation. 7 + -16nu + 10u = -9 + -32n + 16nu + -16nu Combine like terms: 16nu + -16nu = 0 7 + -16nu + 10u = -9 + -32n + 0 7 + -16nu + 10u = -9 + -32n Add '-7' to each side of the equation. 7 + -16nu + -7 + 10u = -9 + -7 + -32n Reorder the terms: 7 + -7 + -16nu + 10u = -9 + -7 + -32n Combine like terms: 7 + -7 = 0 0 + -16nu + 10u = -9 + -7 + -32n -16nu + 10u = -9 + -7 + -32n Combine like terms: -9 + -7 = -16 -16nu + 10u = -16 + -32n Reorder the terms: 16 + 32n + -16nu + 10u = -16 + -32n + 16 + 32n Reorder the terms: 16 + 32n + -16nu + 10u = -16 + 16 + -32n + 32n Combine like terms: -16 + 16 = 0 16 + 32n + -16nu + 10u = 0 + -32n + 32n 16 + 32n + -16nu + 10u = -32n + 32n Combine like terms: -32n + 32n = 0 16 + 32n + -16nu + 10u = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 16n + -8nu + 5u) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + 16n + -8nu + 5u)' equal to zero and attempt to solve: Simplifying 8 + 16n + -8nu + 5u = 0 Solving 8 + 16n + -8nu + 5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 16n + -8nu + -8 + 5u = 0 + -8 Reorder the terms: 8 + -8 + 16n + -8nu + 5u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 16n + -8nu + 5u = 0 + -8 16n + -8nu + 5u = 0 + -8 Combine like terms: 0 + -8 = -8 16n + -8nu + 5u = -8 Add '-16n' to each side of the equation. 16n + -8nu + -16n + 5u = -8 + -16n Reorder the terms: 16n + -16n + -8nu + 5u = -8 + -16n Combine like terms: 16n + -16n = 0 0 + -8nu + 5u = -8 + -16n -8nu + 5u = -8 + -16n 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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