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Simplifying 6t = 16t2 + 20t + 0 Reorder the terms: 6t = 0 + 20t + 16t2 Remove the zero: 6t = 20t + 16t2 Solving 6t = 20t + 16t2 Solving for variable 't'. Combine like terms: 6t + -20t = -14t -14t + -16t2 = 20t + 16t2 + -20t + -16t2 Reorder the terms: -14t + -16t2 = 20t + -20t + 16t2 + -16t2 Combine like terms: 20t + -20t = 0 -14t + -16t2 = 0 + 16t2 + -16t2 -14t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 -14t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '-2t'. -2t(7 + 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 '(7 + 8t)' equal to zero and attempt to solve: Simplifying 7 + 8t = 0 Solving 7 + 8t = 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 + 8t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8t = 0 + -7 8t = 0 + -7 Combine like terms: 0 + -7 = -7 8t = -7 Divide each side by '8'. t = -0.875 Simplifying t = -0.875Solution
t = {0, -0.875}
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