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Simplifying -2t(4t + -5) + (-5t2) = 0 Reorder the terms: -2t(-5 + 4t) + (-5t2) = 0 (-5 * -2t + 4t * -2t) + (-5t2) = 0 (10t + -8t2) + (-5t2) = 0 Combine like terms: -8t2 + (-5t2) = -13t2 10t + -13t2 = 0 Solving 10t + -13t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(10 + -13t) = 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 '(10 + -13t)' equal to zero and attempt to solve: Simplifying 10 + -13t = 0 Solving 10 + -13t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -13t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -13t = 0 + -10 -13t = 0 + -10 Combine like terms: 0 + -10 = -10 -13t = -10 Divide each side by '-13'. t = 0.7692307692 Simplifying t = 0.7692307692Solution
t = {0, 0.7692307692}
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