5x^6-125X^4=0

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Solution for 5x^6-125X^4=0 equation:


Simplifying
5x6 + -125X4 = 0

Reorder the terms:
-125X4 + 5x6 = 0

Solving
-125X4 + 5x6 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-5x6' to each side of the equation.
-125X4 + 5x6 + -5x6 = 0 + -5x6

Combine like terms: 5x6 + -5x6 = 0
-125X4 + 0 = 0 + -5x6
-125X4 = 0 + -5x6
Remove the zero:
-125X4 = -5x6

Divide each side by '-125'.
X4 = 0.04x6

Simplifying
X4 = 0.04x6

Combine like terms: 0.04x6 + -0.04x6 = 0.00
X4 + -0.04x6 = 0.00

Factor a difference between two squares.
(X2 + 0.2x3)(X2 + -0.2x3) = 0.00

Subproblem 1

Set the factor '(X2 + 0.2x3)' equal to zero and attempt to solve: Simplifying X2 + 0.2x3 = 0 Solving X2 + 0.2x3 = 0 Move all terms containing X to the left, all other terms to the right. Add '-0.2x3' to each side of the equation. X2 + 0.2x3 + -0.2x3 = 0 + -0.2x3 Combine like terms: 0.2x3 + -0.2x3 = 0.0 X2 + 0.0 = 0 + -0.2x3 X2 = 0 + -0.2x3 Remove the zero: X2 = -0.2x3 Simplifying X2 = -0.2x3 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 '(X2 + -0.2x3)' equal to zero and attempt to solve: Simplifying X2 + -0.2x3 = 0 Solving X2 + -0.2x3 = 0 Move all terms containing X to the left, all other terms to the right. Add '0.2x3' to each side of the equation. X2 + -0.2x3 + 0.2x3 = 0 + 0.2x3 Combine like terms: -0.2x3 + 0.2x3 = 0.0 X2 + 0.0 = 0 + 0.2x3 X2 = 0 + 0.2x3 Remove the zero: X2 = 0.2x3 Simplifying X2 = 0.2x3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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