x^3-10x*2+21x=0

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Solution for x^3-10x*2+21x=0 equation:


Simplifying
x3 + -10x * 2 + 21x = 0

Reorder the terms for easier multiplication:
x3 + -10 * 2x + 21x = 0

Multiply -10 * 2
x3 + -20x + 21x = 0

Reorder the terms:
-20x + 21x + x3 = 0

Combine like terms: -20x + 21x = 1x
1x + x3 = 0

Solving
1x + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + x2) = 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 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 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 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -1 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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