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Simplifying 7t2 + -40t + 48 = 0 Reorder the terms: 48 + -40t + 7t2 = 0 Solving 48 + -40t + 7t2 = 0 Solving for variable 't'. Factor a trinomial. (12 + -7t)(4 + -1t) = 0Subproblem 1
Set the factor '(12 + -7t)' equal to zero and attempt to solve: Simplifying 12 + -7t = 0 Solving 12 + -7t = 0 Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -7t = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -7t = 0 + -12 -7t = 0 + -12 Combine like terms: 0 + -12 = -12 -7t = -12 Divide each side by '-7'. t = 1.714285714 Simplifying t = 1.714285714Subproblem 2
Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4Solution
t = {1.714285714, 4}
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