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Simplifying -5t2 + 60t + -100 = 0 Reorder the terms: -100 + 60t + -5t2 = 0 Solving -100 + 60t + -5t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5'. 5(-20 + 12t + -1t2) = 0 Factor a trinomial. 5((-10 + t)(2 + -1t)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-10 + t)' equal to zero and attempt to solve: Simplifying -10 + t = 0 Solving -10 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + t = 0 + 10 t = 0 + 10 Combine like terms: 0 + 10 = 10 t = 10 Simplifying t = 10Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Solution
t = {10, 2}
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