x^4-22x^2=0

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Solution for x^4-22x^2=0 equation:


Simplifying
x4 + -22x2 = 0

Reorder the terms:
-22x2 + x4 = 0

Solving
-22x2 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-22 + x2) = 0

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 '(-22 + x2)' equal to zero and attempt to solve: Simplifying -22 + x2 = 0 Solving -22 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + x2 = 0 + 22 Combine like terms: -22 + 22 = 0 0 + x2 = 0 + 22 x2 = 0 + 22 Combine like terms: 0 + 22 = 22 x2 = 22 Simplifying x2 = 22 Take the square root of each side: x = {-4.69041576, 4.69041576}

Solution

x = {0, -4.69041576, 4.69041576}

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