x^2+4=x^2+x^2+1

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Solution for x^2+4=x^2+x^2+1 equation:


Simplifying
x2 + 4 = x2 + x2 + 1

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

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

Combine like terms: x2 + x2 = 2x2
4 + x2 = 1 + 2x2

Solving
4 + x2 = 1 + 2x2

Solving for variable 'x'.

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

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

Combine like terms: x2 + -2x2 = -1x2
4 + -1x2 = 1 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
4 + -1x2 = 1 + 0
4 + -1x2 = 1

Add '-4' to each side of the equation.
4 + -4 + -1x2 = 1 + -4

Combine like terms: 4 + -4 = 0
0 + -1x2 = 1 + -4
-1x2 = 1 + -4

Combine like terms: 1 + -4 = -3
-1x2 = -3

Divide each side by '-1'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}

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