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Simplifying 8t2 + 28t = 0 Reorder the terms: 28t + 8t2 = 0 Solving 28t + 8t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(7 + 2t) = 0 Ignore the factor 4.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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