5-2x=-4x(2x+1)

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Solution for 5-2x=-4x(2x+1) equation: 


Simplifying
5 + -2x = -4x(2x + 1)

Reorder the terms:
5 + -2x = -4x(1 + 2x)
5 + -2x = (1 * -4x + 2x * -4x)
5 + -2x = (-4x + -8x2)

Solving
5 + -2x = -4x + -8x2

Solving for variable 'x'.

Combine like terms: -2x + 4x = 2x
5 + 2x + 8x2 = -4x + -8x2 + 4x + 8x2

Reorder the terms:
5 + 2x + 8x2 = -4x + 4x + -8x2 + 8x2

Combine like terms: -4x + 4x = 0
5 + 2x + 8x2 = 0 + -8x2 + 8x2
5 + 2x + 8x2 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
5 + 2x + 8x2 = 0

Begin completing the square.  Divide all terms by
8 the coefficient of the squared term: 

Divide each side by '8'.
0.625 + 0.25x + x2 = 0

Move the constant term to the right:

Add '-0.625' to each side of the equation.
0.625 + 0.25x + -0.625 + x2 = 0 + -0.625

Reorder the terms:
0.625 + -0.625 + 0.25x + x2 = 0 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + 0.25x + x2 = 0 + -0.625
0.25x + x2 = 0 + -0.625

Combine like terms: 0 + -0.625 = -0.625
0.25x + x2 = -0.625

The x term is 0.25x.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25x + 0.015625 + x2 = -0.625 + 0.015625

Reorder the terms:
0.015625 + 0.25x + x2 = -0.625 + 0.015625

Combine like terms: -0.625 + 0.015625 = -0.609375
0.015625 + 0.25x + x2 = -0.609375

Factor a perfect square on the left side:
(x + 0.125)(x + 0.125) = -0.609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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