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Simplifying t2 = -3t + 28 Reorder the terms: t2 = 28 + -3t Solving t2 = 28 + -3t Solving for variable 't'. Reorder the terms: -28 + 3t + t2 = 28 + -3t + -28 + 3t Reorder the terms: -28 + 3t + t2 = 28 + -28 + -3t + 3t Combine like terms: 28 + -28 = 0 -28 + 3t + t2 = 0 + -3t + 3t -28 + 3t + t2 = -3t + 3t Combine like terms: -3t + 3t = 0 -28 + 3t + t2 = 0 Factor a trinomial. (-7 + -1t)(4 + -1t) = 0Subproblem 1
Set the factor '(-7 + -1t)' equal to zero and attempt to solve: Simplifying -7 + -1t = 0 Solving -7 + -1t = 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 + -1t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1t = 0 + 7 -1t = 0 + 7 Combine like terms: 0 + 7 = 7 -1t = 7 Divide each side by '-1'. t = -7 Simplifying t = -7Subproblem 2
Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 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 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4Solution
t = {-7, 4}
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