6x*x-4=3x^2+8

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Solution for 6x*x-4=3x^2+8 equation: 


Simplifying
6x * x + -4 = 3x2 + 8

Multiply x * x
6x2 + -4 = 3x2 + 8

Reorder the terms:
-4 + 6x2 = 3x2 + 8

Reorder the terms:
-4 + 6x2 = 8 + 3x2

Solving
-4 + 6x2 = 8 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
-4 + 6x2 + -3x2 = 8 + 3x2 + -3x2

Combine like terms: 6x2 + -3x2 = 3x2
-4 + 3x2 = 8 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-4 + 3x2 = 8 + 0
-4 + 3x2 = 8

Add '4' to each side of the equation.
-4 + 4 + 3x2 = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 3x2 = 8 + 4
3x2 = 8 + 4

Combine like terms: 8 + 4 = 12
3x2 = 12

Divide each side by '3'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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