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Simplifying 156t + -16t2 = 0 Solving 156t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(39 + -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 '(39 + -4t)' equal to zero and attempt to solve: Simplifying 39 + -4t = 0 Solving 39 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -4t = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -4t = 0 + -39 -4t = 0 + -39 Combine like terms: 0 + -39 = -39 -4t = -39 Divide each side by '-4'. t = 9.75 Simplifying t = 9.75Solution
t = {0, 9.75}
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