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Simplifying t6 + 2t3 = 48 Reorder the terms: 2t3 + t6 = 48 Solving 2t3 + t6 = 48 Solving for variable 't'. Reorder the terms: -48 + 2t3 + t6 = 48 + -48 Combine like terms: 48 + -48 = 0 -48 + 2t3 + t6 = 0 Factor a trinomial. (-8 + -1t3)(6 + -1t3) = 0Subproblem 1
Set the factor '(-8 + -1t3)' equal to zero and attempt to solve: Simplifying -8 + -1t3 = 0 Solving -8 + -1t3 = 0 Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1t3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1t3 = 0 + 8 -1t3 = 0 + 8 Combine like terms: 0 + 8 = 8 -1t3 = 8 Divide each side by '-1'. t3 = -8 Simplifying t3 = -8 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 '(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. The solution to this equation could not be determined.
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