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Simplifying 0 = -2t2 + 15t Reorder the terms: 0 = 15t + -2t2 Solving 0 = 15t + -2t2 Solving for variable 't'. Remove the zero: -15t + 2t2 = 15t + -2t2 + -15t + 2t2 Reorder the terms: -15t + 2t2 = 15t + -15t + -2t2 + 2t2 Combine like terms: 15t + -15t = 0 -15t + 2t2 = 0 + -2t2 + 2t2 -15t + 2t2 = -2t2 + 2t2 Combine like terms: -2t2 + 2t2 = 0 -15t + 2t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-15 + 2t) = 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 '(-15 + 2t)' equal to zero and attempt to solve: Simplifying -15 + 2t = 0 Solving -15 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2t = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 2t = 0 + 15 2t = 0 + 15 Combine like terms: 0 + 15 = 15 2t = 15 Divide each side by '2'. t = 7.5 Simplifying t = 7.5Solution
t = {0, 7.5}
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