405x^4-5x^2=0

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Solution for 405x^4-5x^2=0 equation:


Simplifying
405x4 + -5x2 = 0

Reorder the terms:
-5x2 + 405x4 = 0

Solving
-5x2 + 405x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(-1 + 81x2) = 0

Factor a difference between two squares.
5x2((1 + 9x)(-1 + 9x)) = 0

Ignore the factor 5.

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 '(1 + 9x)' equal to zero and attempt to solve: Simplifying 1 + 9x = 0 Solving 1 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 0 + -1 9x = 0 + -1 Combine like terms: 0 + -1 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111

Subproblem 3

Set the factor '(-1 + 9x)' equal to zero and attempt to solve: Simplifying -1 + 9x = 0 Solving -1 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 9x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9x = 0 + 1 9x = 0 + 1 Combine like terms: 0 + 1 = 1 9x = 1 Divide each side by '9'. x = 0.1111111111 Simplifying x = 0.1111111111

Solution

x = {0, -0.1111111111, 0.1111111111}

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