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Simplifying 4t2 + -20t = 144 Reorder the terms: -20t + 4t2 = 144 Solving -20t + 4t2 = 144 Solving for variable 't'. Reorder the terms: -144 + -20t + 4t2 = 144 + -144 Combine like terms: 144 + -144 = 0 -144 + -20t + 4t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-36 + -5t + t2) = 0 Factor a trinomial. 4((-4 + -1t)(9 + -1t)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-4 + -1t)' equal to zero and attempt to solve: Simplifying -4 + -1t = 0 Solving -4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1t = 0 + 4 -1t = 0 + 4 Combine like terms: 0 + 4 = 4 -1t = 4 Divide each side by '-1'. t = -4 Simplifying t = -4Subproblem 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 = {-4, 9}
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