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Simplifying 8 + -3t = 5t2 Solving 8 + -3t = 5t2 Solving for variable 't'. Combine like terms: 5t2 + -5t2 = 0 8 + -3t + -5t2 = 0 Factor a trinomial. (1 + -1t)(8 + 5t) = 0Subproblem 1
Set the factor '(1 + -1t)' equal to zero and attempt to solve: Simplifying 1 + -1t = 0 Solving 1 + -1t = 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 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1Subproblem 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 = {1, -1.6}
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