256+2X+4X^2=2X+8X^2

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Solution for 256+2X+4X^2=2X+8X^2 equation: 


Simplifying
256 + 2X + 4X2 = 2X + 8X2

Add '-2X' to each side of the equation.
256 + 2X + -2X + 4X2 = 2X + -2X + 8X2

Combine like terms: 2X + -2X = 0
256 + 0 + 4X2 = 2X + -2X + 8X2
256 + 4X2 = 2X + -2X + 8X2

Combine like terms: 2X + -2X = 0
256 + 4X2 = 0 + 8X2
256 + 4X2 = 8X2

Solving
256 + 4X2 = 8X2

Solving for variable 'X'.

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

Add '-8X2' to each side of the equation.
256 + 4X2 + -8X2 = 8X2 + -8X2

Combine like terms: 4X2 + -8X2 = -4X2
256 + -4X2 = 8X2 + -8X2

Combine like terms: 8X2 + -8X2 = 0
256 + -4X2 = 0

Add '-256' to each side of the equation.
256 + -256 + -4X2 = 0 + -256

Combine like terms: 256 + -256 = 0
0 + -4X2 = 0 + -256
-4X2 = 0 + -256

Combine like terms: 0 + -256 = -256
-4X2 = -256

Divide each side by '-4'.
X2 = 64

Simplifying
X2 = 64

Take the square root of each side:
X = {-8, 8}

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