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Simplifying -8t(2t + -7) = 0 Reorder the terms: -8t(-7 + 2t) = 0 (-7 * -8t + 2t * -8t) = 0 (56t + -16t2) = 0 Solving 56t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '8t'. 8t(7 + -2t) = 0 Ignore the factor 8.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 '(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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