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Simplifying 0 = 25t2 + 8t Reorder the terms: 0 = 8t + 25t2 Solving 0 = 8t + 25t2 Solving for variable 't'. Remove the zero: -8t + -25t2 = 8t + 25t2 + -8t + -25t2 Reorder the terms: -8t + -25t2 = 8t + -8t + 25t2 + -25t2 Combine like terms: 8t + -8t = 0 -8t + -25t2 = 0 + 25t2 + -25t2 -8t + -25t2 = 25t2 + -25t2 Combine like terms: 25t2 + -25t2 = 0 -8t + -25t2 = 0 Factor out the Greatest Common Factor (GCF), '-1t'. -1t(8 + 25t) = 0 Ignore the factor -1.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 '(8 + 25t)' equal to zero and attempt to solve: Simplifying 8 + 25t = 0 Solving 8 + 25t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 25t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 25t = 0 + -8 25t = 0 + -8 Combine like terms: 0 + -8 = -8 25t = -8 Divide each side by '25'. t = -0.32 Simplifying t = -0.32Solution
t = {0, -0.32}
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