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Simplifying 49t + -5t2 = 72 Solving 49t + -5t2 = 72 Solving for variable 't'. Reorder the terms: -72 + 49t + -5t2 = 72 + -72 Combine like terms: 72 + -72 = 0 -72 + 49t + -5t2 = 0 Factor a trinomial. (-8 + t)(9 + -5t) = 0Subproblem 1
Set the factor '(-8 + t)' equal to zero and attempt to solve: Simplifying -8 + t = 0 Solving -8 + t = 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 + t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + t = 0 + 8 t = 0 + 8 Combine like terms: 0 + 8 = 8 t = 8 Simplifying t = 8Subproblem 2
Set the factor '(9 + -5t)' equal to zero and attempt to solve: Simplifying 9 + -5t = 0 Solving 9 + -5t = 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 + -5t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5t = 0 + -9 -5t = 0 + -9 Combine like terms: 0 + -9 = -9 -5t = -9 Divide each side by '-5'. t = 1.8 Simplifying t = 1.8Solution
t = {8, 1.8}
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