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Simplifying 6t2 + -49t = -8 Reorder the terms: -49t + 6t2 = -8 Solving -49t + 6t2 = -8 Solving for variable 't'. Reorder the terms: 8 + -49t + 6t2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -49t + 6t2 = 0 Factor a trinomial. (1 + -6t)(8 + -1t) = 0Subproblem 1
Set the factor '(1 + -6t)' equal to zero and attempt to solve: Simplifying 1 + -6t = 0 Solving 1 + -6t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6t = 0 + -1 -6t = 0 + -1 Combine like terms: 0 + -1 = -1 -6t = -1 Divide each side by '-6'. t = 0.1666666667 Simplifying t = 0.1666666667Subproblem 2
Set the factor '(8 + -1t)' equal to zero and attempt to solve: Simplifying 8 + -1t = 0 Solving 8 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1t = 0 + -8 -1t = 0 + -8 Combine like terms: 0 + -8 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8Solution
t = {0.1666666667, 8}
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