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Simplifying 4t2u2 + 7tu2v + 3tuw = 0 Reorder the terms: 3tuw + 7tu2v + 4t2u2 = 0 Solving 3tuw + 7tu2v + 4t2u2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 'tu'. tu(3w + 7uv + 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 '(3w + 7uv + 4tu)' equal to zero and attempt to solve: Simplifying 3w + 7uv + 4tu = 0 Reorder the terms: 4tu + 7uv + 3w = 0 Solving 4tu + 7uv + 3w = 0 Move all terms containing t to the left, all other terms to the right. Add '-7uv' to each side of the equation. 4tu + 7uv + -7uv + 3w = 0 + -7uv Combine like terms: 7uv + -7uv = 0 4tu + 0 + 3w = 0 + -7uv 4tu + 3w = 0 + -7uv Remove the zero: 4tu + 3w = -7uv Add '-3w' to each side of the equation. 4tu + 3w + -3w = -7uv + -3w Combine like terms: 3w + -3w = 0 4tu + 0 = -7uv + -3w 4tu = -7uv + -3w Divide each side by '4u'. t = -1.75v + -0.75u-1w Simplifying t = -1.75v + -0.75u-1w Reorder the terms: t = -0.75u-1w + -1.75vSolution
t = {-0.75u-1w + -1.75v}
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