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Simplifying 15t2 + 4t + -35 = 0 Reorder the terms: -35 + 4t + 15t2 = 0 Solving -35 + 4t + 15t2 = 0 Solving for variable 't'. Factor a trinomial. (-5 + -3t)(7 + -5t) = 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 '(7 + -5t)' equal to zero and attempt to solve: Simplifying 7 + -5t = 0 Solving 7 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5t = 0 + -7 -5t = 0 + -7 Combine like terms: 0 + -7 = -7 -5t = -7 Divide each side by '-5'. t = 1.4 Simplifying t = 1.4Solution
t = {-1.666666667, 1.4}
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