5-3x^2=1+x^2

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Solution for 5-3x^2=1+x^2 equation: 


Simplifying
5 + -3x2 = 1 + x2

Solving
5 + -3x2 = 1 + 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.
5 + -3x2 + -1x2 = 1 + x2 + -1x2

Combine like terms: -3x2 + -1x2 = -4x2
5 + -4x2 = 1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5 + -4x2 = 1 + 0
5 + -4x2 = 1

Add '-5' to each side of the equation.
5 + -5 + -4x2 = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -4x2 = 1 + -5
-4x2 = 1 + -5

Combine like terms: 1 + -5 = -4
-4x2 = -4

Divide each side by '-4'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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