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Simplifying 3t2 + 20t = 100 Reorder the terms: 20t + 3t2 = 100 Solving 20t + 3t2 = 100 Solving for variable 't'. Reorder the terms: -100 + 20t + 3t2 = 100 + -100 Combine like terms: 100 + -100 = 0 -100 + 20t + 3t2 = 0 Factor a trinomial. (-10 + -1t)(10 + -3t) = 0Subproblem 1
Set the factor '(-10 + -1t)' equal to zero and attempt to solve: Simplifying -10 + -1t = 0 Solving -10 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1t = 0 + 10 -1t = 0 + 10 Combine like terms: 0 + 10 = 10 -1t = 10 Divide each side by '-1'. t = -10 Simplifying t = -10Subproblem 2
Set the factor '(10 + -3t)' equal to zero and attempt to solve: Simplifying 10 + -3t = 0 Solving 10 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3t = 0 + -10 -3t = 0 + -10 Combine like terms: 0 + -10 = -10 -3t = -10 Divide each side by '-3'. t = 3.333333333 Simplifying t = 3.333333333Solution
t = {-10, 3.333333333}
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