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Simplifying 150 = -16t2 + 25t + 150 Reorder the terms: 150 = 150 + 25t + -16t2 Add '-150' to each side of the equation. 150 + -150 = 150 + 25t + -150 + -16t2 Combine like terms: 150 + -150 = 0 0 = 150 + 25t + -150 + -16t2 Reorder the terms: 0 = 150 + -150 + 25t + -16t2 Combine like terms: 150 + -150 = 0 0 = 0 + 25t + -16t2 0 = 25t + -16t2 Solving 0 = 25t + -16t2 Solving for variable 't'. Remove the zero: -25t + 16t2 = 25t + -16t2 + -25t + 16t2 Reorder the terms: -25t + 16t2 = 25t + -25t + -16t2 + 16t2 Combine like terms: 25t + -25t = 0 -25t + 16t2 = 0 + -16t2 + 16t2 -25t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -25t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-25 + 16t) = 0Subproblem 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 + 16t)' equal to zero and attempt to solve: Simplifying -25 + 16t = 0 Solving -25 + 16t = 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 + 16t = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 16t = 0 + 25 16t = 0 + 25 Combine like terms: 0 + 25 = 25 16t = 25 Divide each side by '16'. t = 1.5625 Simplifying t = 1.5625Solution
t = {0, 1.5625}
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