10x^4-10x^3-15x^2+15x=0

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Solution for 10x^4-10x^3-15x^2+15x=0 equation:


Simplifying
10x4 + -10x3 + -15x2 + 15x = 0

Reorder the terms:
15x + -15x2 + -10x3 + 10x4 = 0

Solving
15x + -15x2 + -10x3 + 10x4 = 0

Solving for variable 'x'.

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

Ignore the factor 5.

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 '(3 + -3x + -2x2 + 2x3)' equal to zero and attempt to solve: Simplifying 3 + -3x + -2x2 + 2x3 = 0 Solving 3 + -3x + -2x2 + 2x3 = 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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