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Simplifying 500(t) = -16t2 + 175t + 0 Reorder the terms: 500t = 0 + 175t + -16t2 Remove the zero: 500t = 175t + -16t2 Solving 500t = 175t + -16t2 Solving for variable 't'. Combine like terms: 500t + -175t = 325t 325t + 16t2 = 175t + -16t2 + -175t + 16t2 Reorder the terms: 325t + 16t2 = 175t + -175t + -16t2 + 16t2 Combine like terms: 175t + -175t = 0 325t + 16t2 = 0 + -16t2 + 16t2 325t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 325t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(325 + 16t) = 0Subproblem 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 '(325 + 16t)' equal to zero and attempt to solve: Simplifying 325 + 16t = 0 Solving 325 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-325' to each side of the equation. 325 + -325 + 16t = 0 + -325 Combine like terms: 325 + -325 = 0 0 + 16t = 0 + -325 16t = 0 + -325 Combine like terms: 0 + -325 = -325 16t = -325 Divide each side by '16'. t = -20.3125 Simplifying t = -20.3125Solution
t = {0, -20.3125}
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