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Simplifying 16t2 + 276t = 0 Reorder the terms: 276t + 16t2 = 0 Solving 276t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(69 + 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 '(69 + 4t)' equal to zero and attempt to solve: Simplifying 69 + 4t = 0 Solving 69 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 4t = 0 + -69 Combine like terms: 69 + -69 = 0 0 + 4t = 0 + -69 4t = 0 + -69 Combine like terms: 0 + -69 = -69 4t = -69 Divide each side by '4'. t = -17.25 Simplifying t = -17.25Solution
t = {0, -17.25}
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