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Simplifying 12ut + -6t2 = 0 Solving 12tu + -6t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '6t'. 6t(2u + -1t) = 0 Ignore the factor 6.Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(2u + -1t)' equal to zero and attempt to solve: Simplifying 2u + -1t = 0 Reorder the terms: -1t + 2u = 0 Solving -1t + 2u = 0 Move all terms containing t to the left, all other terms to the right. Add '-2u' to each side of the equation. -1t + 2u + -2u = 0 + -2u Combine like terms: 2u + -2u = 0 -1t + 0 = 0 + -2u -1t = 0 + -2u Remove the zero: -1t = -2u Divide each side by '-1'. t = 2u Simplifying t = 2uSolution
t = {0, 2u}
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