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Simplifying 4t2 + -64t = -252 Reorder the terms: -64t + 4t2 = -252 Solving -64t + 4t2 = -252 Solving for variable 't'. Reorder the terms: 252 + -64t + 4t2 = -252 + 252 Combine like terms: -252 + 252 = 0 252 + -64t + 4t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(63 + -16t + t2) = 0 Factor a trinomial. 4((7 + -1t)(9 + -1t)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 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 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7Subproblem 2
Set the factor '(9 + -1t)' equal to zero and attempt to solve: Simplifying 9 + -1t = 0 Solving 9 + -1t = 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 + -1t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1t = 0 + -9 -1t = 0 + -9 Combine like terms: 0 + -9 = -9 -1t = -9 Divide each side by '-1'. t = 9 Simplifying t = 9Solution
t = {7, 9}
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