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Simplifying 5t2 + -11t = 12 Reorder the terms: -11t + 5t2 = 12 Solving -11t + 5t2 = 12 Solving for variable 't'. Reorder the terms: -12 + -11t + 5t2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -11t + 5t2 = 0 Factor a trinomial. (-4 + -5t)(3 + -1t) = 0Subproblem 1
Set the factor '(-4 + -5t)' equal to zero and attempt to solve: Simplifying -4 + -5t = 0 Solving -4 + -5t = 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 + -5t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5t = 0 + 4 -5t = 0 + 4 Combine like terms: 0 + 4 = 4 -5t = 4 Divide each side by '-5'. t = -0.8 Simplifying t = -0.8Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3Solution
t = {-0.8, 3}
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