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Simplifying 4t2u2 + 8tu2 + 5tuw = 0 Reorder the terms: 5tuw + 8tu2 + 4t2u2 = 0 Solving 5tuw + 8tu2 + 4t2u2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 'tu'. tu(5w + 8u + 4tu) = 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 '(5w + 8u + 4tu)' equal to zero and attempt to solve: Simplifying 5w + 8u + 4tu = 0 Reorder the terms: 4tu + 8u + 5w = 0 Solving 4tu + 8u + 5w = 0 Move all terms containing t to the left, all other terms to the right. Add '-8u' to each side of the equation. 4tu + 8u + -8u + 5w = 0 + -8u Combine like terms: 8u + -8u = 0 4tu + 0 + 5w = 0 + -8u 4tu + 5w = 0 + -8u Remove the zero: 4tu + 5w = -8u Add '-5w' to each side of the equation. 4tu + 5w + -5w = -8u + -5w Combine like terms: 5w + -5w = 0 4tu + 0 = -8u + -5w 4tu = -8u + -5w Divide each side by '4u'. t = -2 + -1.25u-1w Simplifying t = -2 + -1.25u-1wSolution
t = {-2 + -1.25u-1w}
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