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Simplifying 2t2 + -7t = 0 Reorder the terms: -7t + 2t2 = 0 Solving -7t + 2t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-7 + 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 '(-7 + 2t)' equal to zero and attempt to solve: Simplifying -7 + 2t = 0 Solving -7 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2t = 0 + 7 2t = 0 + 7 Combine like terms: 0 + 7 = 7 2t = 7 Divide each side by '2'. t = 3.5 Simplifying t = 3.5Solution
t = {0, 3.5}
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