6t^3-47t^2-8t=

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Solution for 6t^3-47t^2-8t= equation:


Simplifying
6t3 + -47t2 + -8t = 0

Reorder the terms:
-8t + -47t2 + 6t3 = 0

Solving
-8t + -47t2 + 6t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(-8 + -47t + 6t2) = 0

Factor a trinomial.
t((-1 + -6t)(8 + -1t)) = 0

Subproblem 1

Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0

Subproblem 2

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 = -0.1666666667

Subproblem 3

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 = 8

Solution

t = {0, -0.1666666667, 8}

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