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Simplifying -16t2 + 60t + 5 = 5 Reorder the terms: 5 + 60t + -16t2 = 5 Add '-5' to each side of the equation. 5 + 60t + -5 + -16t2 = 5 + -5 Reorder the terms: 5 + -5 + 60t + -16t2 = 5 + -5 Combine like terms: 5 + -5 = 0 0 + 60t + -16t2 = 5 + -5 60t + -16t2 = 5 + -5 Combine like terms: 5 + -5 = 0 60t + -16t2 = 0 Solving 60t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(15 + -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 '(15 + -4t)' equal to zero and attempt to solve: Simplifying 15 + -4t = 0 Solving 15 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4t = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4t = 0 + -15 -4t = 0 + -15 Combine like terms: 0 + -15 = -15 -4t = -15 Divide each side by '-4'. t = 3.75 Simplifying t = 3.75Solution
t = {0, 3.75}
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