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Simplifying 21 = -16t2 + 183t + 21 Reorder the terms: 21 = 21 + 183t + -16t2 Add '-21' to each side of the equation. 21 + -21 = 21 + 183t + -21 + -16t2 Combine like terms: 21 + -21 = 0 0 = 21 + 183t + -21 + -16t2 Reorder the terms: 0 = 21 + -21 + 183t + -16t2 Combine like terms: 21 + -21 = 0 0 = 0 + 183t + -16t2 0 = 183t + -16t2 Solving 0 = 183t + -16t2 Solving for variable 't'. Remove the zero: -183t + 16t2 = 183t + -16t2 + -183t + 16t2 Reorder the terms: -183t + 16t2 = 183t + -183t + -16t2 + 16t2 Combine like terms: 183t + -183t = 0 -183t + 16t2 = 0 + -16t2 + 16t2 -183t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -183t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-183 + 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 '(-183 + 16t)' equal to zero and attempt to solve: Simplifying -183 + 16t = 0 Solving -183 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '183' to each side of the equation. -183 + 183 + 16t = 0 + 183 Combine like terms: -183 + 183 = 0 0 + 16t = 0 + 183 16t = 0 + 183 Combine like terms: 0 + 183 = 183 16t = 183 Divide each side by '16'. t = 11.4375 Simplifying t = 11.4375Solution
t = {0, 11.4375}
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