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Simplifying 16 = 5t2 + 16t + 16 Reorder the terms: 16 = 16 + 16t + 5t2 Add '-16' to each side of the equation. 16 + -16 = 16 + 16t + -16 + 5t2 Combine like terms: 16 + -16 = 0 0 = 16 + 16t + -16 + 5t2 Reorder the terms: 0 = 16 + -16 + 16t + 5t2 Combine like terms: 16 + -16 = 0 0 = 0 + 16t + 5t2 0 = 16t + 5t2 Solving 0 = 16t + 5t2 Solving for variable 't'. Remove the zero: -16t + -5t2 = 16t + 5t2 + -16t + -5t2 Reorder the terms: -16t + -5t2 = 16t + -16t + 5t2 + -5t2 Combine like terms: 16t + -16t = 0 -16t + -5t2 = 0 + 5t2 + -5t2 -16t + -5t2 = 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 -16t + -5t2 = 0 Factor out the Greatest Common Factor (GCF), '-1t'. -1t(16 + 5t) = 0 Ignore the factor -1.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 '(16 + 5t)' equal to zero and attempt to solve: Simplifying 16 + 5t = 0 Solving 16 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5t = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 5t = 0 + -16 5t = 0 + -16 Combine like terms: 0 + -16 = -16 5t = -16 Divide each side by '5'. t = -3.2 Simplifying t = -3.2Solution
t = {0, -3.2}
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