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Simplifying 7t2 + -40t + -63 = 0 Reorder the terms: -63 + -40t + 7t2 = 0 Solving -63 + -40t + 7t2 = 0 Solving for variable 't'. Factor a trinomial. (-9 + -7t)(7 + -1t) = 0Subproblem 1
Set the factor '(-9 + -7t)' equal to zero and attempt to solve: Simplifying -9 + -7t = 0 Solving -9 + -7t = 0 Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -7t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7t = 0 + 9 -7t = 0 + 9 Combine like terms: 0 + 9 = 9 -7t = 9 Divide each side by '-7'. t = -1.285714286 Simplifying t = -1.285714286Subproblem 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 = {-1.285714286, 7}
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