36t^3-1t=0

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Solution for 36t^3-1t=0 equation:


Simplifying
36t3 + -1t = 0

Reorder the terms:
-1t + 36t3 = 0

Solving
-1t + 36t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(-1 + 36t2) = 0

Factor a difference between two squares.
t((1 + 6t)(-1 + 6t)) = 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 '(-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

Solution

t = {0, -0.1666666667, 0.1666666667}

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