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Simplifying 10t5 + 50t4 + -15t3 + -75t2 = 0 Reorder the terms: -75t2 + -15t3 + 50t4 + 10t5 = 0 Solving -75t2 + -15t3 + 50t4 + 10t5 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5t2'. 5t2(-15 + -3t + 10t2 + 2t3) = 0 Ignore the factor 5.Subproblem 1
Set the factor 't2' equal to zero and attempt to solve: Simplifying t2 = 0 Solving t2 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t2 = 0 Take the square root of each side: t = {0}Subproblem 2
Set the factor '(-15 + -3t + 10t2 + 2t3)' equal to zero and attempt to solve: Simplifying -15 + -3t + 10t2 + 2t3 = 0 Solving -15 + -3t + 10t2 + 2t3 = 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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