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

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


Simplifying
2x2 + 1 = 4x2 + -1

Reorder the terms:
1 + 2x2 = 4x2 + -1

Reorder the terms:
1 + 2x2 = -1 + 4x2

Solving
1 + 2x2 = -1 + 4x2

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '-2'.
x2 = 1

Simplifying
x2 = 1

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

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