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Simplifying t2 + 2t + -120 = 0 Reorder the terms: -120 + 2t + t2 = 0 Solving -120 + 2t + t2 = 0 Solving for variable 't'. Factor a trinomial. (-12 + -1t)(10 + -1t) = 0Subproblem 1
Set the factor '(-12 + -1t)' equal to zero and attempt to solve: Simplifying -12 + -1t = 0 Solving -12 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1t = 0 + 12 -1t = 0 + 12 Combine like terms: 0 + 12 = 12 -1t = 12 Divide each side by '-1'. t = -12 Simplifying t = -12Subproblem 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 = {-12, 10}
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