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Simplifying 10t2 + 37t + -36 = 0 Reorder the terms: -36 + 37t + 10t2 = 0 Solving -36 + 37t + 10t2 = 0 Solving for variable 't'. Factor a trinomial. (-9 + -2t)(4 + -5t) = 0Subproblem 1
Set the factor '(-9 + -2t)' equal to zero and attempt to solve: Simplifying -9 + -2t = 0 Solving -9 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2t = 0 + 9 -2t = 0 + 9 Combine like terms: 0 + 9 = 9 -2t = 9 Divide each side by '-2'. t = -4.5 Simplifying t = -4.5Subproblem 2
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 = 0.8Solution
t = {-4.5, 0.8}
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