20X^3-20X^2+5X=0

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Solution for 20X^3-20X^2+5X=0 equation:


Simplifying
20X3 + -20X2 + 5X = 0

Reorder the terms:
5X + -20X2 + 20X3 = 0

Solving
5X + -20X2 + 20X3 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '5X'.
5X(1 + -4X + 4X2) = 0

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

Ignore the factor 5.

Subproblem 1

Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X = 0

Subproblem 2

Set the factor '(1 + -2X)' equal to zero and attempt to solve: Simplifying 1 + -2X = 0 Solving 1 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2X = 0 + -1 -2X = 0 + -1 Combine like terms: 0 + -1 = -1 -2X = -1 Divide each side by '-2'. X = 0.5 Simplifying X = 0.5

Subproblem 3

Set the factor '(1 + -2X)' equal to zero and attempt to solve: Simplifying 1 + -2X = 0 Solving 1 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2X = 0 + -1 -2X = 0 + -1 Combine like terms: 0 + -1 = -1 -2X = -1 Divide each side by '-2'. X = 0.5 Simplifying X = 0.5

Solution

X = {0, 0.5, 0.5}

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