10x^6-15x^5+20x^4+30x^2=0

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Solution for 10x^6-15x^5+20x^4+30x^2=0 equation:


Simplifying
10x6 + -15x5 + 20x4 + 30x2 = 0

Reorder the terms:
30x2 + 20x4 + -15x5 + 10x6 = 0

Solving
30x2 + 20x4 + -15x5 + 10x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(6 + 4x2 + -3x3 + 2x4) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(6 + 4x2 + -3x3 + 2x4)' equal to zero and attempt to solve: Simplifying 6 + 4x2 + -3x3 + 2x4 = 0 Solving 6 + 4x2 + -3x3 + 2x4 = 0 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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