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Simplifying -16t2 + 124t + 0 = 0 Reorder the terms: 0 + 124t + -16t2 = 0 Remove the zero: 124t + -16t2 = 0 Solving 124t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(31 + -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 '(31 + -4t)' equal to zero and attempt to solve: Simplifying 31 + -4t = 0 Solving 31 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -4t = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -4t = 0 + -31 -4t = 0 + -31 Combine like terms: 0 + -31 = -31 -4t = -31 Divide each side by '-4'. t = 7.75 Simplifying t = 7.75Solution
t = {0, 7.75}
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