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Simplifying 49t2 + -500t = 0 Reorder the terms: -500t + 49t2 = 0 Solving -500t + 49t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-500 + 49t) = 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 '(-500 + 49t)' equal to zero and attempt to solve: Simplifying -500 + 49t = 0 Solving -500 + 49t = 0 Move all terms containing t to the left, all other terms to the right. Add '500' to each side of the equation. -500 + 500 + 49t = 0 + 500 Combine like terms: -500 + 500 = 0 0 + 49t = 0 + 500 49t = 0 + 500 Combine like terms: 0 + 500 = 500 49t = 500 Divide each side by '49'. t = 10.20408163 Simplifying t = 10.20408163Solution
t = {0, 10.20408163}
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