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

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


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

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

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

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

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

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

Solving
1 = 2 + 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.
1 + -2x2 = 2 + 2x2 + -2x2

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

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

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

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

Divide each side by '-2'.
x2 = -0.5

Simplifying
x2 = -0.5

Reorder the terms:
0.5 + x2 = -0.5 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.5 + x2 = 0.0

The solution to this equation could not be determined.

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