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Simplifying 2t2 + 80t + -1000 = 0 Reorder the terms: -1000 + 80t + 2t2 = 0 Solving -1000 + 80t + 2t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(-500 + 40t + t2) = 0 Factor a trinomial. 2((-50 + -1t)(10 + -1t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-50 + -1t)' equal to zero and attempt to solve: Simplifying -50 + -1t = 0 Solving -50 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -1t = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -1t = 0 + 50 -1t = 0 + 50 Combine like terms: 0 + 50 = 50 -1t = 50 Divide each side by '-1'. t = -50 Simplifying t = -50Subproblem 2
Set the factor '(10 + -1t)' equal to zero and attempt to solve: Simplifying 10 + -1t = 0 Solving 10 + -1t = 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 + -1t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1t = 0 + -10 -1t = 0 + -10 Combine like terms: 0 + -10 = -10 -1t = -10 Divide each side by '-1'. t = 10 Simplifying t = 10Solution
t = {-50, 10}
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