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

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


Simplifying
2x2 = x2 + x2 + 2x + 1

Reorder the terms:
2x2 = 1 + 2x + x2 + x2

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

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

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

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

Solving
0 = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
0 + -2x = 1 + 2x + -2x
Remove the zero:
-2x = 1 + 2x + -2x

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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