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Simplifying 3(t * t) + -1t + 1 = 11 Multiply t * t 3(t2) + -1t + 1 = 11 Reorder the terms: 1 + -1t + 3t2 = 11 Solving 1 + -1t + 3t2 = 11 Solving for variable 't'. Reorder the terms: 1 + -11 + -1t + 3t2 = 11 + -11 Combine like terms: 1 + -11 = -10 -10 + -1t + 3t2 = 11 + -11 Combine like terms: 11 + -11 = 0 -10 + -1t + 3t2 = 0 Factor a trinomial. (-5 + -3t)(2 + -1t) = 0Subproblem 1
Set the factor '(-5 + -3t)' equal to zero and attempt to solve: Simplifying -5 + -3t = 0 Solving -5 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3t = 0 + 5 -3t = 0 + 5 Combine like terms: 0 + 5 = 5 -3t = 5 Divide each side by '-3'. t = -1.666666667 Simplifying t = -1.666666667Subproblem 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 = {-1.666666667, 2}
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