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Simplifying 15t2 + -13t + -2 = 0 Reorder the terms: -2 + -13t + 15t2 = 0 Solving -2 + -13t + 15t2 = 0 Solving for variable 't'. Factor a trinomial. (-2 + -15t)(1 + -1t) = 0Subproblem 1
Set the factor '(-2 + -15t)' equal to zero and attempt to solve: Simplifying -2 + -15t = 0 Solving -2 + -15t = 0 Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -15t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -15t = 0 + 2 -15t = 0 + 2 Combine like terms: 0 + 2 = 2 -15t = 2 Divide each side by '-15'. t = -0.1333333333 Simplifying t = -0.1333333333Subproblem 2
Set the factor '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 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 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Solution
t = {-0.1333333333, 1}
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