8x^4-28x^6=0

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Solution for 8x^4-28x^6=0 equation:


Simplifying
8x4 + -28x6 = 0

Solving
8x4 + -28x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x4'.
4x4(2 + -7x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(2 + -7x2)' equal to zero and attempt to solve: Simplifying 2 + -7x2 = 0 Solving 2 + -7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x2 = 0 + -2 -7x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -7x2 = -2 Divide each side by '-7'. x2 = 0.2857142857 Simplifying x2 = 0.2857142857 Take the square root of each side: x = {-0.534522484, 0.534522484}

Solution

x = {-0.534522484, 0.534522484}

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