(.5x+1)(.5x+1)=2x+1

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Solution for (.5x+1)(.5x+1)=2x+1 equation: 


Simplifying
(0.5x + 1)(0.5x + 1) = 2x + 1

Reorder the terms:
(1 + 0.5x)(0.5x + 1) = 2x + 1

Reorder the terms:
(1 + 0.5x)(1 + 0.5x) = 2x + 1

Multiply (1 + 0.5x) * (1 + 0.5x)
(1(1 + 0.5x) + 0.5x * (1 + 0.5x)) = 2x + 1
((1 * 1 + 0.5x * 1) + 0.5x * (1 + 0.5x)) = 2x + 1
((1 + 0.5x) + 0.5x * (1 + 0.5x)) = 2x + 1
(1 + 0.5x + (1 * 0.5x + 0.5x * 0.5x)) = 2x + 1
(1 + 0.5x + (0.5x + 0.25x2)) = 2x + 1

Combine like terms: 0.5x + 0.5x = 1x
(1 + 1x + 0.25x2) = 2x + 1

Reorder the terms:
1 + 1x + 0.25x2 = 1 + 2x

Add '-1' to each side of the equation.
1 + 1x + -1 + 0.25x2 = 1 + -1 + 2x

Reorder the terms:
1 + -1 + 1x + 0.25x2 = 1 + -1 + 2x

Combine like terms: 1 + -1 = 0
0 + 1x + 0.25x2 = 1 + -1 + 2x
1x + 0.25x2 = 1 + -1 + 2x

Combine like terms: 1 + -1 = 0
1x + 0.25x2 = 0 + 2x
1x + 0.25x2 = 2x

Solving
1x + 0.25x2 = 2x

Solving for variable 'x'.

Reorder the terms:
1x + -2x + 0.25x2 = 2x + -2x

Combine like terms: 1x + -2x = -1x
-1x + 0.25x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-1x + 0.25x2 = 0

The solution to this equation could not be determined.

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