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Simplifying 20t2 + 21t + 4 = 0 Reorder the terms: 4 + 21t + 20t2 = 0 Solving 4 + 21t + 20t2 = 0 Solving for variable 't'. Factor a trinomial. (4 + 5t)(1 + 4t) = 0Subproblem 1
Set the factor '(4 + 5t)' equal to zero and attempt to solve: Simplifying 4 + 5t = 0 Solving 4 + 5t = 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 + 5t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5t = 0 + -4 5t = 0 + -4 Combine like terms: 0 + -4 = -4 5t = -4 Divide each side by '5'. t = -0.8 Simplifying t = -0.8Subproblem 2
Set the factor '(1 + 4t)' equal to zero and attempt to solve: Simplifying 1 + 4t = 0 Solving 1 + 4t = 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 + 4t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4t = 0 + -1 4t = 0 + -1 Combine like terms: 0 + -1 = -1 4t = -1 Divide each side by '4'. t = -0.25 Simplifying t = -0.25Solution
t = {-0.8, -0.25}
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