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Simplifying 1575 + 160t + 4t2 = 0 Solving 1575 + 160t + 4t2 = 0 Solving for variable 't'. Factor a trinomial. (45 + 2t)(35 + 2t) = 0Subproblem 1
Set the factor '(45 + 2t)' equal to zero and attempt to solve: Simplifying 45 + 2t = 0 Solving 45 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 2t = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 2t = 0 + -45 2t = 0 + -45 Combine like terms: 0 + -45 = -45 2t = -45 Divide each side by '2'. t = -22.5 Simplifying t = -22.5Subproblem 2
Set the factor '(35 + 2t)' equal to zero and attempt to solve: Simplifying 35 + 2t = 0 Solving 35 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 2t = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 2t = 0 + -35 2t = 0 + -35 Combine like terms: 0 + -35 = -35 2t = -35 Divide each side by '2'. t = -17.5 Simplifying t = -17.5Solution
t = {-22.5, -17.5}
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