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Simplifying 60t4v + 78t3v + -180t2v = 0 Reorder the terms: -180t2v + 78t3v + 60t4v = 0 Solving -180t2v + 78t3v + 60t4v = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '6t2v'. 6t2v(-30 + 13t + 10t2) = 0 Factor a trinomial. 6t2v((-5 + -2t)(6 + -5t)) = 0 Ignore the factor 6.Subproblem 1
Set the factor 't2v' equal to zero and attempt to solve: Simplifying t2v = 0 Solving t2v = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t2v = 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 '(-5 + -2t)' equal to zero and attempt to solve: Simplifying -5 + -2t = 0 Solving -5 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2t = 0 + 5 -2t = 0 + 5 Combine like terms: 0 + 5 = 5 -2t = 5 Divide each side by '-2'. t = -2.5 Simplifying t = -2.5Subproblem 3
Set the factor '(6 + -5t)' equal to zero and attempt to solve: Simplifying 6 + -5t = 0 Solving 6 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5t = 0 + -6 -5t = 0 + -6 Combine like terms: 0 + -6 = -6 -5t = -6 Divide each side by '-5'. t = 1.2 Simplifying t = 1.2Solution
t = {-2.5, 1.2}
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