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Simplifying 0 = 16t2 + 176t Reorder the terms: 0 = 176t + 16t2 Solving 0 = 176t + 16t2 Solving for variable 't'. Remove the zero: -176t + -16t2 = 176t + 16t2 + -176t + -16t2 Reorder the terms: -176t + -16t2 = 176t + -176t + 16t2 + -16t2 Combine like terms: 176t + -176t = 0 -176t + -16t2 = 0 + 16t2 + -16t2 -176t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 -176t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '-16t'. -16t(11 + 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 '(11 + t)' equal to zero and attempt to solve: Simplifying 11 + t = 0 Solving 11 + t = 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 + t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + t = 0 + -11 t = 0 + -11 Combine like terms: 0 + -11 = -11 t = -11 Simplifying t = -11Solution
t = {0, -11}
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