4x^4+25x^2=0

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Solution for 4x^4+25x^2=0 equation:


Simplifying
4x4 + 25x2 = 0

Reorder the terms:
25x2 + 4x4 = 0

Solving
25x2 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(25 + 4x2) = 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 '(25 + 4x2)' equal to zero and attempt to solve: Simplifying 25 + 4x2 = 0 Solving 25 + 4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 4x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 4x2 = 0 + -25 4x2 = 0 + -25 Combine like terms: 0 + -25 = -25 4x2 = -25 Divide each side by '4'. x2 = -6.25 Simplifying x2 = -6.25 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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