5x(8x+4)=8x-15

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Solution for 5x(8x+4)=8x-15 equation: 


Simplifying
5x(8x + 4) = 8x + -15

Reorder the terms:
5x(4 + 8x) = 8x + -15
(4 * 5x + 8x * 5x) = 8x + -15
(20x + 40x2) = 8x + -15

Reorder the terms:
20x + 40x2 = -15 + 8x

Solving
20x + 40x2 = -15 + 8x

Solving for variable 'x'.

Reorder the terms:
15 + 20x + -8x + 40x2 = -15 + 8x + 15 + -8x

Combine like terms: 20x + -8x = 12x
15 + 12x + 40x2 = -15 + 8x + 15 + -8x

Reorder the terms:
15 + 12x + 40x2 = -15 + 15 + 8x + -8x

Combine like terms: -15 + 15 = 0
15 + 12x + 40x2 = 0 + 8x + -8x
15 + 12x + 40x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
15 + 12x + 40x2 = 0

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

Divide each side by '40'.
0.375 + 0.3x + x2 = 0.0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + 0.3x + -0.375 + x2 = 0.0 + -0.375

Reorder the terms:
0.375 + -0.375 + 0.3x + x2 = 0.0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + 0.3x + x2 = 0.0 + -0.375
0.3x + x2 = 0.0 + -0.375

Combine like terms: 0.0 + -0.375 = -0.375
0.3x + x2 = -0.375

The x term is 0.3x.  Take half its coefficient (0.15).
Square it (0.0225) and add it to both sides.

Add '0.0225' to each side of the equation.
0.3x + 0.0225 + x2 = -0.375 + 0.0225

Reorder the terms:
0.0225 + 0.3x + x2 = -0.375 + 0.0225

Combine like terms: -0.375 + 0.0225 = -0.3525
0.0225 + 0.3x + x2 = -0.3525

Factor a perfect square on the left side:
(x + 0.15)(x + 0.15) = -0.3525

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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