20x^4-17x^2=0

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Solution for 20x^4-17x^2=0 equation:


Simplifying
20x4 + -17x2 = 0

Reorder the terms:
-17x2 + 20x4 = 0

Solving
-17x2 + 20x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-17 + 20x2) = 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 '(-17 + 20x2)' equal to zero and attempt to solve: Simplifying -17 + 20x2 = 0 Solving -17 + 20x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 20x2 = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 20x2 = 0 + 17 20x2 = 0 + 17 Combine like terms: 0 + 17 = 17 20x2 = 17 Divide each side by '20'. x2 = 0.85 Simplifying x2 = 0.85 Take the square root of each side: x = {-0.921954446, 0.921954446}

Solution

x = {0, -0.921954446, 0.921954446}

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