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Simplifying 15 = -16t2 + 5t + 15 Reorder the terms: 15 = 15 + 5t + -16t2 Add '-15' to each side of the equation. 15 + -15 = 15 + 5t + -15 + -16t2 Combine like terms: 15 + -15 = 0 0 = 15 + 5t + -15 + -16t2 Reorder the terms: 0 = 15 + -15 + 5t + -16t2 Combine like terms: 15 + -15 = 0 0 = 0 + 5t + -16t2 0 = 5t + -16t2 Solving 0 = 5t + -16t2 Solving for variable 't'. Remove the zero: -5t + 16t2 = 5t + -16t2 + -5t + 16t2 Reorder the terms: -5t + 16t2 = 5t + -5t + -16t2 + 16t2 Combine like terms: 5t + -5t = 0 -5t + 16t2 = 0 + -16t2 + 16t2 -5t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -5t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-5 + 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 '(-5 + 16t)' equal to zero and attempt to solve: Simplifying -5 + 16t = 0 Solving -5 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 16t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 16t = 0 + 5 16t = 0 + 5 Combine like terms: 0 + 5 = 5 16t = 5 Divide each side by '16'. t = 0.3125 Simplifying t = 0.3125Solution
t = {0, 0.3125}
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