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Simplifying 13t5u8 + -39t3u10 = 0 Reorder the terms: -39t3u10 + 13t5u8 = 0 Solving -39t3u10 + 13t5u8 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '13t3u8'. 13t3u8(-3u2 + t2) = 0 Ignore the factor 13.Subproblem 1
Set the factor 't3u8' equal to zero and attempt to solve: Simplifying t3u8 = 0 Solving t3u8 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t3u8 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3u2 + t2)' equal to zero and attempt to solve: Simplifying -3u2 + t2 = 0 Reorder the terms: t2 + -3u2 = 0 Solving t2 + -3u2 = 0 Move all terms containing t to the left, all other terms to the right. Add '3u2' to each side of the equation. t2 + -3u2 + 3u2 = 0 + 3u2 Combine like terms: -3u2 + 3u2 = 0 t2 + 0 = 0 + 3u2 t2 = 0 + 3u2 Remove the zero: t2 = 3u2 Simplifying t2 = 3u2 Take the square root of each side: t = {-1.732050808u, 1.732050808u}Solution
t = {-1.732050808u, 1.732050808u}
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