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Simplifying t6 + 3t3 = 28 Reorder the terms: 3t3 + t6 = 28 Solving 3t3 + t6 = 28 Solving for variable 't'. Reorder the terms: -28 + 3t3 + t6 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + 3t3 + t6 = 0 Factor a trinomial. (-7 + -1t3)(4 + -1t3) = 0Subproblem 1
Set the factor '(-7 + -1t3)' equal to zero and attempt to solve: Simplifying -7 + -1t3 = 0 Solving -7 + -1t3 = 0 Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1t3 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1t3 = 0 + 7 -1t3 = 0 + 7 Combine like terms: 0 + 7 = 7 -1t3 = 7 Divide each side by '-1'. t3 = -7 Simplifying t3 = -7 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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