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Simplifying 7t2 + -47t + -14 = 0 Reorder the terms: -14 + -47t + 7t2 = 0 Solving -14 + -47t + 7t2 = 0 Solving for variable 't'. Factor a trinomial. (-2 + -7t)(7 + -1t) = 0Subproblem 1
Set the factor '(-2 + -7t)' equal to zero and attempt to solve: Simplifying -2 + -7t = 0 Solving -2 + -7t = 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 + -7t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7t = 0 + 2 -7t = 0 + 2 Combine like terms: 0 + 2 = 2 -7t = 2 Divide each side by '-7'. t = -0.2857142857 Simplifying t = -0.2857142857Subproblem 2
Set the factor '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 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 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7Solution
t = {-0.2857142857, 7}
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