2(x^2-4)=2(3x^2+1)

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Solution for 2(x^2-4)=2(3x^2+1) equation: 


Simplifying
2(x2 + -4) = 2(3x2 + 1)

Reorder the terms:
2(-4 + x2) = 2(3x2 + 1)
(-4 * 2 + x2 * 2) = 2(3x2 + 1)
(-8 + 2x2) = 2(3x2 + 1)

Reorder the terms:
-8 + 2x2 = 2(1 + 3x2)
-8 + 2x2 = (1 * 2 + 3x2 * 2)
-8 + 2x2 = (2 + 6x2)

Solving
-8 + 2x2 = 2 + 6x2

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: 2 + 8 = 10
-4x2 = 10

Divide each side by '-4'.
x2 = -2.5

Simplifying
x2 = -2.5

Reorder the terms:
2.5 + x2 = -2.5 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
2.5 + x2 = 0.0

The solution to this equation could not be determined.

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