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)

Remove parenthesis around (-3 + x2)
-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 = -1
1x2 = -1

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

Simplifying
x2 = -1

Reorder the terms:
1 + x2 = -1 + 1

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

The solution to this equation could not be determined.

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