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Simplifying 148t + -16t2 = 300 Solving 148t + -16t2 = 300 Solving for variable 't'. Reorder the terms: -300 + 148t + -16t2 = 300 + -300 Combine like terms: 300 + -300 = 0 -300 + 148t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-75 + 37t + -4t2) = 0 Factor a trinomial. 4((-25 + 4t)(3 + -1t)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-25 + 4t)' equal to zero and attempt to solve: Simplifying -25 + 4t = 0 Solving -25 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 4t = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 4t = 0 + 25 4t = 0 + 25 Combine like terms: 0 + 25 = 25 4t = 25 Divide each side by '4'. t = 6.25 Simplifying t = 6.25Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 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 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3Solution
t = {6.25, 3}
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