(8x+1)(2x+1)=5x

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Solution for (8x+1)(2x+1)=5x equation: 


Simplifying
(8x + 1)(2x + 1) = 5x

Reorder the terms:
(1 + 8x)(2x + 1) = 5x

Reorder the terms:
(1 + 8x)(1 + 2x) = 5x

Multiply (1 + 8x) * (1 + 2x)
(1(1 + 2x) + 8x * (1 + 2x)) = 5x
((1 * 1 + 2x * 1) + 8x * (1 + 2x)) = 5x
((1 + 2x) + 8x * (1 + 2x)) = 5x
(1 + 2x + (1 * 8x + 2x * 8x)) = 5x
(1 + 2x + (8x + 16x2)) = 5x

Combine like terms: 2x + 8x = 10x
(1 + 10x + 16x2) = 5x

Solving
1 + 10x + 16x2 = 5x

Solving for variable 'x'.

Reorder the terms:
1 + 10x + -5x + 16x2 = 5x + -5x

Combine like terms: 10x + -5x = 5x
1 + 5x + 16x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
1 + 5x + 16x2 = 0

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

Divide each side by '16'.
0.0625 + 0.3125x + x2 = 0

Move the constant term to the right:

Add '-0.0625' to each side of the equation.
0.0625 + 0.3125x + -0.0625 + x2 = 0 + -0.0625

Reorder the terms:
0.0625 + -0.0625 + 0.3125x + x2 = 0 + -0.0625

Combine like terms: 0.0625 + -0.0625 = 0.0000
0.0000 + 0.3125x + x2 = 0 + -0.0625
0.3125x + x2 = 0 + -0.0625

Combine like terms: 0 + -0.0625 = -0.0625
0.3125x + x2 = -0.0625

The x term is 0.3125x.  Take half its coefficient (0.15625).
Square it (0.0244140625) and add it to both sides.

Add '0.0244140625' to each side of the equation.
0.3125x + 0.0244140625 + x2 = -0.0625 + 0.0244140625

Reorder the terms:
0.0244140625 + 0.3125x + x2 = -0.0625 + 0.0244140625

Combine like terms: -0.0625 + 0.0244140625 = -0.0380859375
0.0244140625 + 0.3125x + x2 = -0.0380859375

Factor a perfect square on the left side:
(x + 0.15625)(x + 0.15625) = -0.0380859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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