7x^4-14x^3+21x^3=0

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Solution for 7x^4-14x^3+21x^3=0 equation:


Simplifying
7x4 + -14x3 + 21x3 = 0

Reorder the terms:
-14x3 + 21x3 + 7x4 = 0

Combine like terms: -14x3 + 21x3 = 7x3
7x3 + 7x4 = 0

Solving
7x3 + 7x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x3'.
7x3(1 + x) = 0

Ignore the factor 7.

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {-1}

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