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Simplifying 4t2 + 4t = 195 Reorder the terms: 4t + 4t2 = 195 Solving 4t + 4t2 = 195 Solving for variable 't'. Reorder the terms: -195 + 4t + 4t2 = 195 + -195 Combine like terms: 195 + -195 = 0 -195 + 4t + 4t2 = 0 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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