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Simplifying 196t + -16t2 = 528 Solving 196t + -16t2 = 528 Solving for variable 't'. Reorder the terms: -528 + 196t + -16t2 = 528 + -528 Combine like terms: 528 + -528 = 0 -528 + 196t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-132 + 49t + -4t2) = 0 Factor a trinomial. 4((-33 + 4t)(4 + -1t)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-33 + 4t)' equal to zero and attempt to solve: Simplifying -33 + 4t = 0 Solving -33 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 4t = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 4t = 0 + 33 4t = 0 + 33 Combine like terms: 0 + 33 = 33 4t = 33 Divide each side by '4'. t = 8.25 Simplifying t = 8.25Subproblem 2
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 = 4Solution
t = {8.25, 4}
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