2x(x)+(0.375)=x(x-0.5)+0.25

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Solution for 2x(x)+(0.375)=x(x-0.5)+0.25 equation: 


Simplifying
2x(x) + (0.375) = x(x + -0.5) + 0.25

Multiply x * x
2x2 + (0.375) = x(x + -0.5) + 0.25
2x2 + 0.375 = x(x + -0.5) + 0.25

Reorder the terms:
0.375 + 2x2 = x(x + -0.5) + 0.25

Reorder the terms:
0.375 + 2x2 = x(-0.5 + x) + 0.25
0.375 + 2x2 = (-0.5 * x + x * x) + 0.25
0.375 + 2x2 = (-0.5x + x2) + 0.25

Reorder the terms:
0.375 + 2x2 = 0.25 + -0.5x + x2

Solving
0.375 + 2x2 = 0.25 + -0.5x + x2

Solving for variable 'x'.

Reorder the terms:
0.375 + -0.25 + 0.5x + 2x2 + -1x2 = 0.25 + -0.5x + x2 + -0.25 + 0.5x + -1x2

Combine like terms: 0.375 + -0.25 = 0.125
0.125 + 0.5x + 2x2 + -1x2 = 0.25 + -0.5x + x2 + -0.25 + 0.5x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
0.125 + 0.5x + 1x2 = 0.25 + -0.5x + x2 + -0.25 + 0.5x + -1x2

Reorder the terms:
0.125 + 0.5x + 1x2 = 0.25 + -0.25 + -0.5x + 0.5x + x2 + -1x2

Combine like terms: 0.25 + -0.25 = 0.00
0.125 + 0.5x + 1x2 = 0.00 + -0.5x + 0.5x + x2 + -1x2
0.125 + 0.5x + 1x2 = -0.5x + 0.5x + x2 + -1x2

Combine like terms: -0.5x + 0.5x = 0.0
0.125 + 0.5x + 1x2 = 0.0 + x2 + -1x2
0.125 + 0.5x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0.125 + 0.5x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-0.125' to each side of the equation.
0.125 + 0.5x + -0.125 + x2 = 0 + -0.125

Reorder the terms:
0.125 + -0.125 + 0.5x + x2 = 0 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + 0.5x + x2 = 0 + -0.125
0.5x + x2 = 0 + -0.125

Combine like terms: 0 + -0.125 = -0.125
0.5x + x2 = -0.125

The x term is 0.5x.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5x + 0.0625 + x2 = -0.125 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = -0.125 + 0.0625

Combine like terms: -0.125 + 0.0625 = -0.0625
0.0625 + 0.5x + x2 = -0.0625

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = -0.0625

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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