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Simplifying t6 + 3t3 = 18 Reorder the terms: 3t3 + t6 = 18 Solving 3t3 + t6 = 18 Solving for variable 't'. Reorder the terms: -18 + 3t3 + t6 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 3t3 + t6 = 0 Factor a trinomial. (-6 + -1t3)(3 + -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 '(3 + -1t3)' equal to zero and attempt to solve: Simplifying 3 + -1t3 = 0 Solving 3 + -1t3 = 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 + -1t3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t3 = 0 + -3 -1t3 = 0 + -3 Combine like terms: 0 + -3 = -3 -1t3 = -3 Divide each side by '-1'. t3 = 3 Simplifying t3 = 3 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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