36t^3-48t-12t^2=0

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Solution for 36t^3-48t-12t^2=0 equation:


Simplifying
36t3 + -48t + -12t2 = 0

Reorder the terms:
-48t + -12t2 + 36t3 = 0

Solving
-48t + -12t2 + 36t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '12t'.
12t(-4 + -1t + 3t2) = 0

Factor a trinomial.
12t((-1 + -1t)(4 + -3t)) = 0

Ignore the factor 12.

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 + -1t)' equal to zero and attempt to solve: Simplifying -1 + -1t = 0 Solving -1 + -1t = 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 + -1t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1t = 0 + 1 -1t = 0 + 1 Combine like terms: 0 + 1 = 1 -1t = 1 Divide each side by '-1'. t = -1 Simplifying t = -1

Subproblem 3

Set the factor '(4 + -3t)' equal to zero and attempt to solve: Simplifying 4 + -3t = 0 Solving 4 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3t = 0 + -4 -3t = 0 + -4 Combine like terms: 0 + -4 = -4 -3t = -4 Divide each side by '-3'. t = 1.333333333 Simplifying t = 1.333333333

Solution

t = {0, -1, 1.333333333}

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