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

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


Simplifying
20x3 + -1x2 + 5x = 0

Reorder the terms:
5x + -1x2 + 20x3 = 0

Solving
5x + -1x2 + 20x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + -1x + 20x2) = 0

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 '(5 + -1x + 20x2)' equal to zero and attempt to solve: Simplifying 5 + -1x + 20x2 = 0 Solving 5 + -1x + 20x2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.25 + -0.05x + x2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + -0.05x + -0.25 + x2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + -0.05x + x2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -0.05x + x2 = 0 + -0.25 -0.05x + x2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -0.05x + x2 = -0.25 The x term is -0.05x. Take half its coefficient (-0.025). Square it (0.000625) and add it to both sides. Add '0.000625' to each side of the equation. -0.05x + 0.000625 + x2 = -0.25 + 0.000625 Reorder the terms: 0.000625 + -0.05x + x2 = -0.25 + 0.000625 Combine like terms: -0.25 + 0.000625 = -0.249375 0.000625 + -0.05x + x2 = -0.249375 Factor a perfect square on the left side: (x + -0.025)(x + -0.025) = -0.249375 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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