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Simplifying 5t2 + 12t + 7 = 0 Reorder the terms: 7 + 12t + 5t2 = 0 Solving 7 + 12t + 5t2 = 0 Solving for variable 't'. Factor a trinomial. (7 + 5t)(1 + t) = 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 '(1 + t)' equal to zero and attempt to solve: Simplifying 1 + t = 0 Solving 1 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t = 0 + -1 t = 0 + -1 Combine like terms: 0 + -1 = -1 t = -1 Simplifying t = -1Solution
t = {-1.4, -1}
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