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Simplifying 48tu + -90t + 32u + -60 = 0 Reorder the terms: -60 + -90t + 48tu + 32u = 0 Solving -60 + -90t + 48tu + 32u = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '60' to each side of the equation. -60 + -90t + 48tu + 60 + 32u = 0 + 60 Reorder the terms: -60 + 60 + -90t + 48tu + 32u = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -90t + 48tu + 32u = 0 + 60 -90t + 48tu + 32u = 0 + 60 Combine like terms: 0 + 60 = 60 -90t + 48tu + 32u = 60 Add '-32u' to each side of the equation. -90t + 48tu + 32u + -32u = 60 + -32u Combine like terms: 32u + -32u = 0 -90t + 48tu + 0 = 60 + -32u -90t + 48tu = 60 + -32u Reorder the terms: -60 + -90t + 48tu + 32u = 60 + -32u + -60 + 32u Reorder the terms: -60 + -90t + 48tu + 32u = 60 + -60 + -32u + 32u Combine like terms: 60 + -60 = 0 -60 + -90t + 48tu + 32u = 0 + -32u + 32u -60 + -90t + 48tu + 32u = -32u + 32u Combine like terms: -32u + 32u = 0 -60 + -90t + 48tu + 32u = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-30 + -45t + 24tu + 16u) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-30 + -45t + 24tu + 16u)' equal to zero and attempt to solve: Simplifying -30 + -45t + 24tu + 16u = 0 Solving -30 + -45t + 24tu + 16u = 0 Move all terms containing t to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -45t + 24tu + 30 + 16u = 0 + 30 Reorder the terms: -30 + 30 + -45t + 24tu + 16u = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -45t + 24tu + 16u = 0 + 30 -45t + 24tu + 16u = 0 + 30 Combine like terms: 0 + 30 = 30 -45t + 24tu + 16u = 30 Add '-16u' to each side of the equation. -45t + 24tu + 16u + -16u = 30 + -16u Combine like terms: 16u + -16u = 0 -45t + 24tu + 0 = 30 + -16u -45t + 24tu = 30 + -16u 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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