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Simplifying 0 = -4t(-4t + -11) Reorder the terms: 0 = -4t(-11 + -4t) 0 = (-11 * -4t + -4t * -4t) 0 = (44t + 16t2) Solving 0 = 44t + 16t2 Solving for variable 't'. Remove the zero: -44t + -16t2 = 44t + 16t2 + -44t + -16t2 Reorder the terms: -44t + -16t2 = 44t + -44t + 16t2 + -16t2 Combine like terms: 44t + -44t = 0 -44t + -16t2 = 0 + 16t2 + -16t2 -44t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 -44t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '-4t'. -4t(11 + 4t) = 0 Ignore the factor -4.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 '(11 + 4t)' equal to zero and attempt to solve: Simplifying 11 + 4t = 0 Solving 11 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4t = 0 + -11 4t = 0 + -11 Combine like terms: 0 + -11 = -11 4t = -11 Divide each side by '4'. t = -2.75 Simplifying t = -2.75Solution
t = {0, -2.75}
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