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Simplifying (70 + t + -3t2) = 0 Remove parenthesis around (70 + t + -3t2) 70 + t + -3t2 = 0 Solving 70 + t + -3t2 = 0 Solving for variable 't'. Factor a trinomial. (5 + -1t)(14 + 3t) = 0Subproblem 1
Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 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 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5Subproblem 2
Set the factor '(14 + 3t)' equal to zero and attempt to solve: Simplifying 14 + 3t = 0 Solving 14 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3t = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3t = 0 + -14 3t = 0 + -14 Combine like terms: 0 + -14 = -14 3t = -14 Divide each side by '3'. t = -4.666666667 Simplifying t = -4.666666667Solution
t = {5, -4.666666667}
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