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Simplifying 8t10 + -88t9 + -208t8 = 0 Reorder the terms: -208t8 + -88t9 + 8t10 = 0 Solving -208t8 + -88t9 + 8t10 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '8t8'. 8t8(-26 + -11t + t2) = 0 Factor a trinomial. 8t8((-2 + -1t)(13 + -1t)) = 0 Ignore the factor 8.Subproblem 1
Set the factor 't8' equal to zero and attempt to solve: Simplifying t8 = 0 Solving t8 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t8 = 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 '(-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 = -2Subproblem 3
Set the factor '(13 + -1t)' equal to zero and attempt to solve: Simplifying 13 + -1t = 0 Solving 13 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1t = 0 + -13 -1t = 0 + -13 Combine like terms: 0 + -13 = -13 -1t = -13 Divide each side by '-1'. t = 13 Simplifying t = 13Solution
t = {-2, 13}
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