(a^2-8)(a^2+8)=

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Solution for (a^2-8)(a^2+8)= equation:


Simplifying
(a2 + -8)(a2 + 8) = 0

Reorder the terms:
(-8 + a2)(a2 + 8) = 0

Reorder the terms:
(-8 + a2)(8 + a2) = 0

Multiply (-8 + a2) * (8 + a2)
(-8(8 + a2) + a2(8 + a2)) = 0
((8 * -8 + a2 * -8) + a2(8 + a2)) = 0
((-64 + -8a2) + a2(8 + a2)) = 0
(-64 + -8a2 + (8 * a2 + a2 * a2)) = 0
(-64 + -8a2 + (8a2 + a4)) = 0

Combine like terms: -8a2 + 8a2 = 0
(-64 + 0 + a4) = 0
(-64 + a4) = 0

Solving
-64 + a4 = 0

Solving for variable 'a'.

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

Add '64' to each side of the equation.
-64 + 64 + a4 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + a4 = 0 + 64
a4 = 0 + 64

Combine like terms: 0 + 64 = 64
a4 = 64

Simplifying
a4 = 64

Reorder the terms:
-64 + a4 = 64 + -64

Combine like terms: 64 + -64 = 0
-64 + a4 = 0

Factor a difference between two squares.
(8 + a2)(-8 + a2) = 0

Subproblem 1

Set the factor '(8 + a2)' equal to zero and attempt to solve: Simplifying 8 + a2 = 0 Solving 8 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + a2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + a2 = 0 + -8 a2 = 0 + -8 Combine like terms: 0 + -8 = -8 a2 = -8 Simplifying a2 = -8 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 '(-8 + a2)' equal to zero and attempt to solve: Simplifying -8 + a2 = 0 Solving -8 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + a2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + a2 = 0 + 8 a2 = 0 + 8 Combine like terms: 0 + 8 = 8 a2 = 8 Simplifying a2 = 8 Take the square root of each side: a = {-2.828427125, 2.828427125}

Solution

a = {-2.828427125, 2.828427125}

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