-21t^3-13t^2-2t=0

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Solution for -21t^3-13t^2-2t=0 equation:


Simplifying
-21t3 + -13t2 + -2t = 0

Reorder the terms:
-2t + -13t2 + -21t3 = 0

Solving
-2t + -13t2 + -21t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-1t'.
-1t(2 + 13t + 21t2) = 0

Factor a trinomial.
-1t((1 + 3t)(2 + 7t)) = 0

Ignore the factor -1.

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 + 3t)' equal to zero and attempt to solve: Simplifying 1 + 3t = 0 Solving 1 + 3t = 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 + 3t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3t = 0 + -1 3t = 0 + -1 Combine like terms: 0 + -1 = -1 3t = -1 Divide each side by '3'. t = -0.3333333333 Simplifying t = -0.3333333333

Subproblem 3

Set the factor '(2 + 7t)' equal to zero and attempt to solve: Simplifying 2 + 7t = 0 Solving 2 + 7t = 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 + 7t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7t = 0 + -2 7t = 0 + -2 Combine like terms: 0 + -2 = -2 7t = -2 Divide each side by '7'. t = -0.2857142857 Simplifying t = -0.2857142857

Solution

t = {0, -0.3333333333, -0.2857142857}

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