k^4-100x^2=0

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Solution for k^4-100x^2=0 equation:


Simplifying
k4 + -100x2 = 0

Solving
k4 + -100x2 = 0

Solving for variable 'k'.

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

Add '100x2' to each side of the equation.
k4 + -100x2 + 100x2 = 0 + 100x2

Combine like terms: -100x2 + 100x2 = 0
k4 + 0 = 0 + 100x2
k4 = 0 + 100x2
Remove the zero:
k4 = 100x2

Simplifying
k4 = 100x2

Combine like terms: 100x2 + -100x2 = 0
k4 + -100x2 = 0

Factor a difference between two squares.
(k2 + 10x)(k2 + -10x) = 0

Subproblem 1

Set the factor '(k2 + 10x)' equal to zero and attempt to solve: Simplifying k2 + 10x = 0 Solving k2 + 10x = 0 Move all terms containing k to the left, all other terms to the right. Add '-10x' to each side of the equation. k2 + 10x + -10x = 0 + -10x Combine like terms: 10x + -10x = 0 k2 + 0 = 0 + -10x k2 = 0 + -10x Remove the zero: k2 = -10x Simplifying k2 = -10x 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 '(k2 + -10x)' equal to zero and attempt to solve: Simplifying k2 + -10x = 0 Solving k2 + -10x = 0 Move all terms containing k to the left, all other terms to the right. Add '10x' to each side of the equation. k2 + -10x + 10x = 0 + 10x Combine like terms: -10x + 10x = 0 k2 + 0 = 0 + 10x k2 = 0 + 10x Remove the zero: k2 = 10x Simplifying k2 = 10x 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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