(3x-8)(3x+8)=8

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Solution for (3x-8)(3x+8)=8 equation: 


Simplifying
(3x + -8)(3x + 8) = 8

Reorder the terms:
(-8 + 3x)(3x + 8) = 8

Reorder the terms:
(-8 + 3x)(8 + 3x) = 8

Multiply (-8 + 3x) * (8 + 3x)
(-8(8 + 3x) + 3x * (8 + 3x)) = 8
((8 * -8 + 3x * -8) + 3x * (8 + 3x)) = 8
((-64 + -24x) + 3x * (8 + 3x)) = 8
(-64 + -24x + (8 * 3x + 3x * 3x)) = 8
(-64 + -24x + (24x + 9x2)) = 8

Combine like terms: -24x + 24x = 0
(-64 + 0 + 9x2) = 8
(-64 + 9x2) = 8

Solving
-64 + 9x2 = 8

Solving for variable 'x'.

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

Add '64' to each side of the equation.
-64 + 64 + 9x2 = 8 + 64

Combine like terms: -64 + 64 = 0
0 + 9x2 = 8 + 64
9x2 = 8 + 64

Combine like terms: 8 + 64 = 72
9x2 = 72

Divide each side by '9'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}

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