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

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


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

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

Reorder the terms:
2 + 2x2 = -3 + x2

Solving
2 + 2x2 = -3 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
2 + 2x2 + -1x2 = -3 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
2 + 1x2 = -3 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + 1x2 = -3 + 0
2 + 1x2 = -3

Add '-2' to each side of the equation.
2 + -2 + 1x2 = -3 + -2

Combine like terms: 2 + -2 = 0
0 + 1x2 = -3 + -2
1x2 = -3 + -2

Combine like terms: -3 + -2 = -5
1x2 = -5

Divide each side by '1'.
x2 = -5

Simplifying
x2 = -5

Reorder the terms:
5 + x2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + x2 = 0

The solution to this equation could not be determined.

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