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Simplifying 5t2 + 28t + 32 = 0 Reorder the terms: 32 + 28t + 5t2 = 0 Solving 32 + 28t + 5t2 = 0 Solving for variable 't'. Factor a trinomial. (4 + t)(8 + 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 '(8 + 5t)' equal to zero and attempt to solve: Simplifying 8 + 5t = 0 Solving 8 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5t = 0 + -8 5t = 0 + -8 Combine like terms: 0 + -8 = -8 5t = -8 Divide each side by '5'. t = -1.6 Simplifying t = -1.6Solution
t = {-4, -1.6}
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