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Simplifying 9t8 + -54t7 + -360t6 = 0 Reorder the terms: -360t6 + -54t7 + 9t8 = 0 Solving -360t6 + -54t7 + 9t8 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '9t6'. 9t6(-40 + -6t + t2) = 0 Factor a trinomial. 9t6((-4 + -1t)(10 + -1t)) = 0 Ignore the factor 9.Subproblem 1
Set the factor 't6' equal to zero and attempt to solve: Simplifying t6 = 0 Solving t6 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t6 = 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 '(-4 + -1t)' equal to zero and attempt to solve: Simplifying -4 + -1t = 0 Solving -4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1t = 0 + 4 -1t = 0 + 4 Combine like terms: 0 + 4 = 4 -1t = 4 Divide each side by '-1'. t = -4 Simplifying t = -4Subproblem 3
Set the factor '(10 + -1t)' equal to zero and attempt to solve: Simplifying 10 + -1t = 0 Solving 10 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1t = 0 + -10 -1t = 0 + -10 Combine like terms: 0 + -10 = -10 -1t = -10 Divide each side by '-1'. t = 10 Simplifying t = 10Solution
t = {-4, 10}
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