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Simplifying 20t2 + -12t = 4t Reorder the terms: -12t + 20t2 = 4t Solving -12t + 20t2 = 4t Solving for variable 't'. Reorder the terms: -12t + -4t + 20t2 = 4t + -4t Combine like terms: -12t + -4t = -16t -16t + 20t2 = 4t + -4t Combine like terms: 4t + -4t = 0 -16t + 20t2 = 0 Factor out the Greatest Common Factor (GCF), '4t'. 4t(-4 + 5t) = 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 '(-4 + 5t)' equal to zero and attempt to solve: Simplifying -4 + 5t = 0 Solving -4 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5t = 0 + 4 5t = 0 + 4 Combine like terms: 0 + 4 = 4 5t = 4 Divide each side by '5'. t = 0.8 Simplifying t = 0.8Solution
t = {0, 0.8}
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