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Simplifying -7 = 9t2 + -16t Reorder the terms: -7 = -16t + 9t2 Solving -7 = -16t + 9t2 Solving for variable 't'. Reorder the terms: -7 + 16t + -9t2 = -16t + 16t + 9t2 + -9t2 Combine like terms: -16t + 16t = 0 -7 + 16t + -9t2 = 0 + 9t2 + -9t2 -7 + 16t + -9t2 = 9t2 + -9t2 Combine like terms: 9t2 + -9t2 = 0 -7 + 16t + -9t2 = 0 Factor a trinomial. (-1 + t)(7 + -9t) = 0Subproblem 1
Set the factor '(-1 + t)' equal to zero and attempt to solve: Simplifying -1 + t = 0 Solving -1 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + t = 0 + 1 t = 0 + 1 Combine like terms: 0 + 1 = 1 t = 1 Simplifying t = 1Subproblem 2
Set the factor '(7 + -9t)' equal to zero and attempt to solve: Simplifying 7 + -9t = 0 Solving 7 + -9t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9t = 0 + -7 -9t = 0 + -7 Combine like terms: 0 + -7 = -7 -9t = -7 Divide each side by '-9'. t = 0.7777777778 Simplifying t = 0.7777777778Solution
t = {1, 0.7777777778}
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