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Simplifying -4(t * t) + 4t + 195 = 0 Multiply t * t -4(t2) + 4t + 195 = 0 Reorder the terms: 195 + 4t + -4t2 = 0 Solving 195 + 4t + -4t2 = 0 Solving for variable 't'. Factor a trinomial. (15 + -2t)(13 + 2t) = 0Subproblem 1
Set the factor '(15 + -2t)' equal to zero and attempt to solve: Simplifying 15 + -2t = 0 Solving 15 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2t = 0 + -15 -2t = 0 + -15 Combine like terms: 0 + -15 = -15 -2t = -15 Divide each side by '-2'. t = 7.5 Simplifying t = 7.5Subproblem 2
Set the factor '(13 + 2t)' equal to zero and attempt to solve: Simplifying 13 + 2t = 0 Solving 13 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2t = 0 + -13 2t = 0 + -13 Combine like terms: 0 + -13 = -13 2t = -13 Divide each side by '2'. t = -6.5 Simplifying t = -6.5Solution
t = {7.5, -6.5}
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