4x^2+8x-2=8x+6

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Solution for 4x^2+8x-2=8x+6 equation: 


Simplifying
4x2 + 8x + -2 = 8x + 6

Reorder the terms:
-2 + 8x + 4x2 = 8x + 6

Reorder the terms:
-2 + 8x + 4x2 = 6 + 8x

Add '-8x' to each side of the equation.
-2 + 8x + -8x + 4x2 = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + 0 + 4x2 = 6 + 8x + -8x
-2 + 4x2 = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + 4x2 = 6 + 0
-2 + 4x2 = 6

Solving
-2 + 4x2 = 6

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 4x2 = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 4x2 = 6 + 2
4x2 = 6 + 2

Combine like terms: 6 + 2 = 8
4x2 = 8

Divide each side by '4'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}

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