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Simplifying 5t2 + -3t + -14 = 0 Reorder the terms: -14 + -3t + 5t2 = 0 Solving -14 + -3t + 5t2 = 0 Solving for variable 't'. Factor a trinomial. (-7 + -5t)(2 + -1t) = 0Subproblem 1
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 = -1.4Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 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 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Solution
t = {-1.4, 2}
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