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Simplifying t9 + 7t8 + 12t7 = 0 Reorder the terms: 12t7 + 7t8 + t9 = 0 Solving 12t7 + 7t8 + t9 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't7'. t7(12 + 7t + t2) = 0 Factor a trinomial. t7((4 + t)(3 + t)) = 0Subproblem 1
Set the factor 't7' equal to zero and attempt to solve: Simplifying t7 = 0 Solving t7 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t7 = 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 + t)' equal to zero and attempt to solve: Simplifying 4 + t = 0 Solving 4 + t = 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 + t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + t = 0 + -4 t = 0 + -4 Combine like terms: 0 + -4 = -4 t = -4 Simplifying t = -4Subproblem 3
Set the factor '(3 + t)' equal to zero and attempt to solve: Simplifying 3 + t = 0 Solving 3 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + t = 0 + -3 t = 0 + -3 Combine like terms: 0 + -3 = -3 t = -3 Simplifying t = -3Solution
t = {-4, -3}
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