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Simplifying t7 + 1t6 + -20t5 = 0 Reorder the terms: -20t5 + 1t6 + t7 = 0 Solving -20t5 + 1t6 + t7 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't5'. t5(-20 + t + t2) = 0 Factor a trinomial. t5((-5 + -1t)(4 + -1t)) = 0Subproblem 1
Set the factor 't5' equal to zero and attempt to solve: Simplifying t5 = 0 Solving t5 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t5 = 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 + -1t)' equal to zero and attempt to solve: Simplifying -5 + -1t = 0 Solving -5 + -1t = 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 + -1t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1t = 0 + 5 -1t = 0 + 5 Combine like terms: 0 + 5 = 5 -1t = 5 Divide each side by '-1'. t = -5 Simplifying t = -5Subproblem 3
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 = 4Solution
t = {-5, 4}
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