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Simplifying 8t2u2 + 5tu2v + 9tuw = 0 Reorder the terms: 9tuw + 5tu2v + 8t2u2 = 0 Solving 9tuw + 5tu2v + 8t2u2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 'tu'. tu(9w + 5uv + 8tu) = 0Subproblem 1
Set the factor 'tu' equal to zero and attempt to solve: Simplifying tu = 0 Solving tu = 0 Move all terms containing t to the left, all other terms to the right. Simplifying tu = 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 '(9w + 5uv + 8tu)' equal to zero and attempt to solve: Simplifying 9w + 5uv + 8tu = 0 Reorder the terms: 8tu + 5uv + 9w = 0 Solving 8tu + 5uv + 9w = 0 Move all terms containing t to the left, all other terms to the right. Add '-5uv' to each side of the equation. 8tu + 5uv + -5uv + 9w = 0 + -5uv Combine like terms: 5uv + -5uv = 0 8tu + 0 + 9w = 0 + -5uv 8tu + 9w = 0 + -5uv Remove the zero: 8tu + 9w = -5uv Add '-9w' to each side of the equation. 8tu + 9w + -9w = -5uv + -9w Combine like terms: 9w + -9w = 0 8tu + 0 = -5uv + -9w 8tu = -5uv + -9w Divide each side by '8u'. t = -0.625v + -1.125u-1w Simplifying t = -0.625v + -1.125u-1w Reorder the terms: t = -1.125u-1w + -0.625vSolution
t = {-1.125u-1w + -0.625v}
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