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Simplifying 0 = -2t(8t + -75) Reorder the terms: 0 = -2t(-75 + 8t) 0 = (-75 * -2t + 8t * -2t) 0 = (150t + -16t2) Solving 0 = 150t + -16t2 Solving for variable 't'. Remove the zero: -150t + 16t2 = 150t + -16t2 + -150t + 16t2 Reorder the terms: -150t + 16t2 = 150t + -150t + -16t2 + 16t2 Combine like terms: 150t + -150t = 0 -150t + 16t2 = 0 + -16t2 + 16t2 -150t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -150t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(-75 + 8t) = 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 '(-75 + 8t)' equal to zero and attempt to solve: Simplifying -75 + 8t = 0 Solving -75 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + 8t = 0 + 75 Combine like terms: -75 + 75 = 0 0 + 8t = 0 + 75 8t = 0 + 75 Combine like terms: 0 + 75 = 75 8t = 75 Divide each side by '8'. t = 9.375 Simplifying t = 9.375Solution
t = {0, 9.375}
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