2x^4-9x^2=0

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Solution for 2x^4-9x^2=0 equation:


Simplifying
2x4 + -9x2 = 0

Reorder the terms:
-9x2 + 2x4 = 0

Solving
-9x2 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-9 + 2x2) = 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 '(-9 + 2x2)' equal to zero and attempt to solve: Simplifying -9 + 2x2 = 0 Solving -9 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x2 = 0 + 9 2x2 = 0 + 9 Combine like terms: 0 + 9 = 9 2x2 = 9 Divide each side by '2'. x2 = 4.5 Simplifying x2 = 4.5 Take the square root of each side: x = {-2.121320344, 2.121320344}

Solution

x = {0, -2.121320344, 2.121320344}

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