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Simplifying v(t) = 0.173t + 0.152t2 + -0.035t3 Multiply v * t tv = 0.173t + 0.152t2 + -0.035t3 Solving tv = 0.173t + 0.152t2 + -0.035t3 Solving for variable 't'. Reorder the terms: -0.173t + tv + -0.152t2 + 0.035t3 = 0.173t + 0.152t2 + -0.035t3 + -0.173t + -0.152t2 + 0.035t3 Reorder the terms: -0.173t + tv + -0.152t2 + 0.035t3 = 0.173t + -0.173t + 0.152t2 + -0.152t2 + -0.035t3 + 0.035t3 Combine like terms: 0.173t + -0.173t = 0.000 -0.173t + tv + -0.152t2 + 0.035t3 = 0.000 + 0.152t2 + -0.152t2 + -0.035t3 + 0.035t3 -0.173t + tv + -0.152t2 + 0.035t3 = 0.152t2 + -0.152t2 + -0.035t3 + 0.035t3 Combine like terms: 0.152t2 + -0.152t2 = 0.000 -0.173t + tv + -0.152t2 + 0.035t3 = 0.000 + -0.035t3 + 0.035t3 -0.173t + tv + -0.152t2 + 0.035t3 = -0.035t3 + 0.035t3 Combine like terms: -0.035t3 + 0.035t3 = 0.000 -0.173t + tv + -0.152t2 + 0.035t3 = 0.000 Factor out the Greatest Common Factor (GCF), 't'. t(-0.173 + v + -0.152t + 0.035t2) = 0.000Subproblem 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 '(-0.173 + v + -0.152t + 0.035t2)' equal to zero and attempt to solve: Simplifying -0.173 + v + -0.152t + 0.035t2 = 0 Reorder the terms: -0.173 + -0.152t + 0.035t2 + v = 0 Solving -0.173 + -0.152t + 0.035t2 + v = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
t = {0}
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