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Simplifying 6t2u2 + 2tu2v + 7tuw = 0 Reorder the terms: 7tuw + 2tu2v + 6t2u2 = 0 Solving 7tuw + 2tu2v + 6t2u2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 'tu'. tu(7w + 2uv + 6tu) = 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 '(7w + 2uv + 6tu)' equal to zero and attempt to solve: Simplifying 7w + 2uv + 6tu = 0 Reorder the terms: 6tu + 2uv + 7w = 0 Solving 6tu + 2uv + 7w = 0 Move all terms containing t to the left, all other terms to the right. Add '-2uv' to each side of the equation. 6tu + 2uv + -2uv + 7w = 0 + -2uv Combine like terms: 2uv + -2uv = 0 6tu + 0 + 7w = 0 + -2uv 6tu + 7w = 0 + -2uv Remove the zero: 6tu + 7w = -2uv Add '-7w' to each side of the equation. 6tu + 7w + -7w = -2uv + -7w Combine like terms: 7w + -7w = 0 6tu + 0 = -2uv + -7w 6tu = -2uv + -7w Divide each side by '6u'. t = -0.3333333333v + -1.166666667u-1w Simplifying t = -0.3333333333v + -1.166666667u-1w Reorder the terms: t = -1.166666667u-1w + -0.3333333333vSolution
t = {-1.166666667u-1w + -0.3333333333v}
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