8a^2-2a^2x^4=

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Solution for 8a^2-2a^2x^4= equation:


Simplifying
8a2 + -2a2x4 = 0

Solving
8a2 + -2a2x4 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), '2a2'.
2a2(4 + -1x4) = 0

Factor a difference between two squares.
2a2((2 + x2)(2 + -1x2)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}

Subproblem 2

Set the factor '(2 + x2)' equal to zero and attempt to solve: Simplifying 2 + x2 = 0 Solving 2 + x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x2 = 0 + -2 x2 = 0 + -2 Combine like terms: 0 + -2 = -2 x2 = -2 Add '-1x2' to each side of the equation. x2 + -1x2 = -2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -2 + -1x2 Simplifying 0 = -2 + -1x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(2 + -1x2)' equal to zero and attempt to solve: Simplifying 2 + -1x2 = 0 Solving 2 + -1x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x2 = 0 + -2 -1x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x2 = -2 Add 'x2' to each side of the equation. -1x2 + x2 = -2 + x2 Combine like terms: -1x2 + x2 = 0 0 = -2 + x2 Simplifying 0 = -2 + x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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