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Simplifying (5t2) + 27t + 28 = 0 Reorder the terms: 28 + 27t + (5t2) = 0 Solving 28 + 27t + (5t2) = 0 Solving for variable 't'. Factor a trinomial. (4 + t)(7 + 5t) = 0Subproblem 1
Set the factor '(4 + t)' equal to zero and attempt to solve: Simplifying 4 + t = 0 Solving 4 + t = 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 + t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + t = 0 + -4 t = 0 + -4 Combine like terms: 0 + -4 = -4 t = -4 Simplifying t = -4Subproblem 2
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 = -1.4Solution
t = {-4, -1.4}
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