8x^4-18x^2-5x^2=0

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Solution for 8x^4-18x^2-5x^2=0 equation:


Simplifying
8x4 + -18x2 + -5x2 = 0

Reorder the terms:
-18x2 + -5x2 + 8x4 = 0

Combine like terms: -18x2 + -5x2 = -23x2
-23x2 + 8x4 = 0

Solving
-23x2 + 8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-23 + 8x2) = 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 '(-23 + 8x2)' equal to zero and attempt to solve: Simplifying -23 + 8x2 = 0 Solving -23 + 8x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 8x2 = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 8x2 = 0 + 23 8x2 = 0 + 23 Combine like terms: 0 + 23 = 23 8x2 = 23 Divide each side by '8'. x2 = 2.875 Simplifying x2 = 2.875 Take the square root of each side: x = {-1.695582496, 1.695582496}

Solution

x = {0, -1.695582496, 1.695582496}

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