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Simplifying 650t = 16t2 Solving 650t = 16t2 Solving for variable 't'. Combine like terms: 16t2 + -16t2 = 0 650t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(325 + -8t) = 0 Ignore the factor 2.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 '(325 + -8t)' equal to zero and attempt to solve: Simplifying 325 + -8t = 0 Solving 325 + -8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-325' to each side of the equation. 325 + -325 + -8t = 0 + -325 Combine like terms: 325 + -325 = 0 0 + -8t = 0 + -325 -8t = 0 + -325 Combine like terms: 0 + -325 = -325 -8t = -325 Divide each side by '-8'. t = 40.625 Simplifying t = 40.625Solution
t = {0, 40.625}
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