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Simplifying 10 = -16t2 + 96t + 10 Reorder the terms: 10 = 10 + 96t + -16t2 Add '-10' to each side of the equation. 10 + -10 = 10 + 96t + -10 + -16t2 Combine like terms: 10 + -10 = 0 0 = 10 + 96t + -10 + -16t2 Reorder the terms: 0 = 10 + -10 + 96t + -16t2 Combine like terms: 10 + -10 = 0 0 = 0 + 96t + -16t2 0 = 96t + -16t2 Solving 0 = 96t + -16t2 Solving for variable 't'. Remove the zero: -96t + 16t2 = 96t + -16t2 + -96t + 16t2 Reorder the terms: -96t + 16t2 = 96t + -96t + -16t2 + 16t2 Combine like terms: 96t + -96t = 0 -96t + 16t2 = 0 + -16t2 + 16t2 -96t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -96t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16t'. 16t(-6 + t) = 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 '(-6 + t)' equal to zero and attempt to solve: Simplifying -6 + t = 0 Solving -6 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + t = 0 + 6 Combine like terms: -6 + 6 = 0 0 + t = 0 + 6 t = 0 + 6 Combine like terms: 0 + 6 = 6 t = 6 Simplifying t = 6Solution
t = {0, 6}
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