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Simplifying (3t + 5)(3t + 5) = 0 Reorder the terms: (5 + 3t)(3t + 5) = 0 Reorder the terms: (5 + 3t)(5 + 3t) = 0 Multiply (5 + 3t) * (5 + 3t) (5(5 + 3t) + 3t * (5 + 3t)) = 0 ((5 * 5 + 3t * 5) + 3t * (5 + 3t)) = 0 ((25 + 15t) + 3t * (5 + 3t)) = 0 (25 + 15t + (5 * 3t + 3t * 3t)) = 0 (25 + 15t + (15t + 9t2)) = 0 Combine like terms: 15t + 15t = 30t (25 + 30t + 9t2) = 0 Solving 25 + 30t + 9t2 = 0 Solving for variable 't'. Factor a trinomial. (5 + 3t)(5 + 3t) = 0Subproblem 1
Set the factor '(5 + 3t)' equal to zero and attempt to solve: Simplifying 5 + 3t = 0 Solving 5 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3t = 0 + -5 3t = 0 + -5 Combine like terms: 0 + -5 = -5 3t = -5 Divide each side by '3'. t = -1.666666667 Simplifying t = -1.666666667Subproblem 2
Set the factor '(5 + 3t)' equal to zero and attempt to solve: Simplifying 5 + 3t = 0 Solving 5 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3t = 0 + -5 3t = 0 + -5 Combine like terms: 0 + -5 = -5 3t = -5 Divide each side by '3'. t = -1.666666667 Simplifying t = -1.666666667Solution
t = {-1.666666667, -1.666666667}
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