T^3-3T^2-10T=0

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Solution for T^3-3T^2-10T=0 equation:


Simplifying
T3 + -3T2 + -10T = 0

Reorder the terms:
-10T + -3T2 + T3 = 0

Solving
-10T + -3T2 + T3 = 0

Solving for variable 'T'.

Factor out the Greatest Common Factor (GCF), 'T'.
T(-10 + -3T + T2) = 0

Factor a trinomial.
T((-2 + -1T)(5 + -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 '(-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 = {0, -2, 5}

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