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Simplifying 5t2 + 21 = 22t Reorder the terms: 21 + 5t2 = 22t Solving 21 + 5t2 = 22t Solving for variable 't'. Reorder the terms: 21 + -22t + 5t2 = 22t + -22t Combine like terms: 22t + -22t = 0 21 + -22t + 5t2 = 0 Factor a trinomial. (7 + -5t)(3 + -1t) = 0Subproblem 1
Set the factor '(7 + -5t)' equal to zero and attempt to solve: Simplifying 7 + -5t = 0 Solving 7 + -5t = 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 + -5t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5t = 0 + -7 -5t = 0 + -7 Combine like terms: 0 + -7 = -7 -5t = -7 Divide each side by '-5'. t = 1.4 Simplifying t = 1.4Subproblem 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 = {1.4, 3}
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