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Simplifying 0 = 16t(t + 9) Reorder the terms: 0 = 16t(9 + t) 0 = (9 * 16t + t * 16t) 0 = (144t + 16t2) Solving 0 = 144t + 16t2 Solving for variable 't'. Remove the zero: -144t + -16t2 = 144t + 16t2 + -144t + -16t2 Reorder the terms: -144t + -16t2 = 144t + -144t + 16t2 + -16t2 Combine like terms: 144t + -144t = 0 -144t + -16t2 = 0 + 16t2 + -16t2 -144t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 -144t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '-16t'. -16t(9 + 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 '(9 + t)' equal to zero and attempt to solve: Simplifying 9 + t = 0 Solving 9 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + t = 0 + -9 t = 0 + -9 Combine like terms: 0 + -9 = -9 t = -9 Simplifying t = -9Solution
t = {0, -9}
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