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Simplifying (t6) + (2)(t3) = 24 t6 + (2)(t3) = 24 Reorder the terms: 2t3 + t6 = 24 Solving 2t3 + t6 = 24 Solving for variable 't'. Reorder the terms: -24 + 2t3 + t6 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 2t3 + t6 = 0 Factor a trinomial. (-6 + -1t3)(4 + -1t3) = 0Subproblem 1
Set the factor '(-6 + -1t3)' equal to zero and attempt to solve: Simplifying -6 + -1t3 = 0 Solving -6 + -1t3 = 0 Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1t3 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1t3 = 0 + 6 -1t3 = 0 + 6 Combine like terms: 0 + 6 = 6 -1t3 = 6 Divide each side by '-1'. t3 = -6 Simplifying t3 = -6 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 + -1t3)' equal to zero and attempt to solve: Simplifying 4 + -1t3 = 0 Solving 4 + -1t3 = 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 + -1t3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t3 = 0 + -4 -1t3 = 0 + -4 Combine like terms: 0 + -4 = -4 -1t3 = -4 Divide each side by '-1'. t3 = 4 Simplifying t3 = 4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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