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Simplifying 5t2 = -16t + -3 Reorder the terms: 5t2 = -3 + -16t Solving 5t2 = -3 + -16t Solving for variable 't'. Reorder the terms: 3 + 16t + 5t2 = -3 + -16t + 3 + 16t Reorder the terms: 3 + 16t + 5t2 = -3 + 3 + -16t + 16t Combine like terms: -3 + 3 = 0 3 + 16t + 5t2 = 0 + -16t + 16t 3 + 16t + 5t2 = -16t + 16t Combine like terms: -16t + 16t = 0 3 + 16t + 5t2 = 0 Factor a trinomial. (3 + t)(1 + 5t) = 0Subproblem 1
Set the factor '(3 + t)' equal to zero and attempt to solve: Simplifying 3 + t = 0 Solving 3 + t = 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 + t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + t = 0 + -3 t = 0 + -3 Combine like terms: 0 + -3 = -3 t = -3 Simplifying t = -3Subproblem 2
Set the factor '(1 + 5t)' equal to zero and attempt to solve: Simplifying 1 + 5t = 0 Solving 1 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5t = 0 + -1 5t = 0 + -1 Combine like terms: 0 + -1 = -1 5t = -1 Divide each side by '5'. t = -0.2 Simplifying t = -0.2Solution
t = {-3, -0.2}
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