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Simplifying t2 = 21 + -4t Solving t2 = 21 + -4t Solving for variable 't'. Reorder the terms: -21 + 4t + t2 = 21 + -4t + -21 + 4t Reorder the terms: -21 + 4t + t2 = 21 + -21 + -4t + 4t Combine like terms: 21 + -21 = 0 -21 + 4t + t2 = 0 + -4t + 4t -21 + 4t + t2 = -4t + 4t Combine like terms: -4t + 4t = 0 -21 + 4t + t2 = 0 Factor a trinomial. (-7 + -1t)(3 + -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 '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 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 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3Solution
t = {-7, 3}
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