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Simplifying 1764 = 336t + -16t2 Solving 1764 = 336t + -16t2 Solving for variable 't'. Reorder the terms: 1764 + -336t + 16t2 = 336t + -336t + -16t2 + 16t2 Combine like terms: 336t + -336t = 0 1764 + -336t + 16t2 = 0 + -16t2 + 16t2 1764 + -336t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 1764 + -336t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(441 + -84t + 4t2) = 0 Factor a trinomial. 4((21 + -2t)(21 + -2t)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(21 + -2t)' equal to zero and attempt to solve: Simplifying 21 + -2t = 0 Solving 21 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -2t = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -2t = 0 + -21 -2t = 0 + -21 Combine like terms: 0 + -21 = -21 -2t = -21 Divide each side by '-2'. t = 10.5 Simplifying t = 10.5Subproblem 2
Set the factor '(21 + -2t)' equal to zero and attempt to solve: Simplifying 21 + -2t = 0 Solving 21 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -2t = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -2t = 0 + -21 -2t = 0 + -21 Combine like terms: 0 + -21 = -21 -2t = -21 Divide each side by '-2'. t = 10.5 Simplifying t = 10.5Solution
t = {10.5, 10.5}
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