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Simplifying -16t2 + 400t = 0 Reorder the terms: 400t + -16t2 = 0 Solving 400t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16t'. 16t(25 + -1t) = 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 '(25 + -1t)' equal to zero and attempt to solve: Simplifying 25 + -1t = 0 Solving 25 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1t = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1t = 0 + -25 -1t = 0 + -25 Combine like terms: 0 + -25 = -25 -1t = -25 Divide each side by '-1'. t = 25 Simplifying t = 25Solution
t = {0, 25}
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