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Simplifying 140 = -16t2 + -12t + 140 Reorder the terms: 140 = 140 + -12t + -16t2 Add '-140' to each side of the equation. 140 + -140 = 140 + -12t + -140 + -16t2 Combine like terms: 140 + -140 = 0 0 = 140 + -12t + -140 + -16t2 Reorder the terms: 0 = 140 + -140 + -12t + -16t2 Combine like terms: 140 + -140 = 0 0 = 0 + -12t + -16t2 0 = -12t + -16t2 Solving 0 = -12t + -16t2 Solving for variable 't'. Remove the zero: 12t + 16t2 = -12t + -16t2 + 12t + 16t2 Reorder the terms: 12t + 16t2 = -12t + 12t + -16t2 + 16t2 Combine like terms: -12t + 12t = 0 12t + 16t2 = 0 + -16t2 + 16t2 12t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 12t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4t'. 4t(3 + 4t) = 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 '(3 + 4t)' equal to zero and attempt to solve: Simplifying 3 + 4t = 0 Solving 3 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4t = 0 + -3 4t = 0 + -3 Combine like terms: 0 + -3 = -3 4t = -3 Divide each side by '4'. t = -0.75 Simplifying t = -0.75Solution
t = {0, -0.75}
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