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Simplifying 704(t) = -16t2 + 240t Reorder the terms: 704t = 240t + -16t2 Solving 704t = 240t + -16t2 Solving for variable 't'. Combine like terms: 704t + -240t = 464t 464t + 16t2 = 240t + -16t2 + -240t + 16t2 Reorder the terms: 464t + 16t2 = 240t + -240t + -16t2 + 16t2 Combine like terms: 240t + -240t = 0 464t + 16t2 = 0 + -16t2 + 16t2 464t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 464t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16t'. 16t(29 + t) = 0 Ignore the factor 16.Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(29 + t)' equal to zero and attempt to solve: Simplifying 29 + t = 0 Solving 29 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + t = 0 + -29 Combine like terms: 29 + -29 = 0 0 + t = 0 + -29 t = 0 + -29 Combine like terms: 0 + -29 = -29 t = -29 Simplifying t = -29Solution
t = {0, -29}
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