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Simplifying 140 = -16t2 + -13t + 140 Reorder the terms: 140 = 140 + -13t + -16t2 Add '-140' to each side of the equation. 140 + -140 = 140 + -13t + -140 + -16t2 Combine like terms: 140 + -140 = 0 0 = 140 + -13t + -140 + -16t2 Reorder the terms: 0 = 140 + -140 + -13t + -16t2 Combine like terms: 140 + -140 = 0 0 = 0 + -13t + -16t2 0 = -13t + -16t2 Solving 0 = -13t + -16t2 Solving for variable 't'. Remove the zero: 13t + 16t2 = -13t + -16t2 + 13t + 16t2 Reorder the terms: 13t + 16t2 = -13t + 13t + -16t2 + 16t2 Combine like terms: -13t + 13t = 0 13t + 16t2 = 0 + -16t2 + 16t2 13t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 13t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(13 + 16t) = 0Subproblem 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 '(13 + 16t)' equal to zero and attempt to solve: Simplifying 13 + 16t = 0 Solving 13 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 16t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 16t = 0 + -13 16t = 0 + -13 Combine like terms: 0 + -13 = -13 16t = -13 Divide each side by '16'. t = -0.8125 Simplifying t = -0.8125Solution
t = {0, -0.8125}
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