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Simplifying 0 = 5t2 + -23t + -10 Reorder the terms: 0 = -10 + -23t + 5t2 Solving 0 = -10 + -23t + 5t2 Solving for variable 't'. Combine like terms: 0 + 10 = 10 10 + 23t + -5t2 = -10 + -23t + 5t2 + 10 + 23t + -5t2 Reorder the terms: 10 + 23t + -5t2 = -10 + 10 + -23t + 23t + 5t2 + -5t2 Combine like terms: -10 + 10 = 0 10 + 23t + -5t2 = 0 + -23t + 23t + 5t2 + -5t2 10 + 23t + -5t2 = -23t + 23t + 5t2 + -5t2 Combine like terms: -23t + 23t = 0 10 + 23t + -5t2 = 0 + 5t2 + -5t2 10 + 23t + -5t2 = 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 10 + 23t + -5t2 = 0 Factor a trinomial. (5 + -1t)(2 + 5t) = 0Subproblem 1
Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5Subproblem 2
Set the factor '(2 + 5t)' equal to zero and attempt to solve: Simplifying 2 + 5t = 0 Solving 2 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5t = 0 + -2 5t = 0 + -2 Combine like terms: 0 + -2 = -2 5t = -2 Divide each side by '5'. t = -0.4 Simplifying t = -0.4Solution
t = {5, -0.4}
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