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Simplifying t7 + 3t6 + -10t5 = 0 Reorder the terms: -10t5 + 3t6 + t7 = 0 Solving -10t5 + 3t6 + t7 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't5'. t5(-10 + 3t + t2) = 0 Factor a trinomial. t5((-5 + -1t)(2 + -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 '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Solution
t = {-5, 2}
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