x^2+4=3x^2+1

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


Simplifying
x2 + 4 = 3x2 + 1

Reorder the terms:
4 + x2 = 3x2 + 1

Reorder the terms:
4 + x2 = 1 + 3x2

Solving
4 + x2 = 1 + 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 + x2 + -3x2 = 1 + 3x2 + -3x2

Combine like terms: x2 + -3x2 = -2x2
4 + -2x2 = 1 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
4 + -2x2 = 1 + 0
4 + -2x2 = 1

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

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

Combine like terms: 1 + -4 = -3
-2x2 = -3

Divide each side by '-2'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}

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