2t^5-14t^4+20t^3=

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Solution for 2t^5-14t^4+20t^3= equation:


Simplifying
2t5 + -14t4 + 20t3 = 0

Reorder the terms:
20t3 + -14t4 + 2t5 = 0

Solving
20t3 + -14t4 + 2t5 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2t3'.
2t3(10 + -7t + t2) = 0

Factor a trinomial.
2t3((2 + -1t)(5 + -1t)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 't3' equal to zero and attempt to solve: Simplifying t3 = 0 Solving t3 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 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 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2

Subproblem 3

Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5

Solution

t = {2, 5}

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