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Simplifying -26t2 + 510t = 0 Reorder the terms: 510t + -26t2 = 0 Solving 510t + -26t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(255 + -13t) = 0 Ignore the factor 2.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 '(255 + -13t)' equal to zero and attempt to solve: Simplifying 255 + -13t = 0 Solving 255 + -13t = 0 Move all terms containing t to the left, all other terms to the right. Add '-255' to each side of the equation. 255 + -255 + -13t = 0 + -255 Combine like terms: 255 + -255 = 0 0 + -13t = 0 + -255 -13t = 0 + -255 Combine like terms: 0 + -255 = -255 -13t = -255 Divide each side by '-13'. t = 19.61538462 Simplifying t = 19.61538462Solution
t = {0, 19.61538462}
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