100x^3+20x^2+x=0

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Solution for 100x^3+20x^2+x=0 equation:


Simplifying
100x3 + 20x2 + x = 0

Reorder the terms:
x + 20x2 + 100x3 = 0

Solving
x + 20x2 + 100x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + 20x + 100x2) = 0

Factor a trinomial.
x((1 + 10x)(1 + 10x)) = 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 '(1 + 10x)' equal to zero and attempt to solve: Simplifying 1 + 10x = 0 Solving 1 + 10x = 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 + 10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 0 + -1 10x = 0 + -1 Combine like terms: 0 + -1 = -1 10x = -1 Divide each side by '10'. x = -0.1 Simplifying x = -0.1

Subproblem 3

Set the factor '(1 + 10x)' equal to zero and attempt to solve: Simplifying 1 + 10x = 0 Solving 1 + 10x = 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 + 10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 0 + -1 10x = 0 + -1 Combine like terms: 0 + -1 = -1 10x = -1 Divide each side by '10'. x = -0.1 Simplifying x = -0.1

Solution

x = {0, -0.1, -0.1}

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