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Simplifying -16t2 + 64t + -63 = 0 Reorder the terms: -63 + 64t + -16t2 = 0 Solving -63 + 64t + -16t2 = 0 Solving for variable 't'. Factor a trinomial. (-9 + 4t)(7 + -4t) = 0Subproblem 1
Set the factor '(-9 + 4t)' equal to zero and attempt to solve: Simplifying -9 + 4t = 0 Solving -9 + 4t = 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 + 4t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4t = 0 + 9 4t = 0 + 9 Combine like terms: 0 + 9 = 9 4t = 9 Divide each side by '4'. t = 2.25 Simplifying t = 2.25Subproblem 2
Set the factor '(7 + -4t)' equal to zero and attempt to solve: Simplifying 7 + -4t = 0 Solving 7 + -4t = 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 + -4t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4t = 0 + -7 -4t = 0 + -7 Combine like terms: 0 + -7 = -7 -4t = -7 Divide each side by '-4'. t = 1.75 Simplifying t = 1.75Solution
t = {2.25, 1.75}
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