-0.8=x(0.2x+0.15)

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Solution for -0.8=x(0.2x+0.15) equation:


Simplifying
-0.8 = x(0.2x + 0.15)

Reorder the terms:
-0.8 = x(0.15 + 0.2x)
-0.8 = (0.15 * x + 0.2x * x)
-0.8 = (0.15x + 0.2x2)

Solving
-0.8 = 0.15x + 0.2x2

Solving for variable 'x'.

Reorder the terms:
-0.8 + -0.15x + -0.2x2 = 0.15x + -0.15x + 0.2x2 + -0.2x2

Combine like terms: 0.15x + -0.15x = 0.00
-0.8 + -0.15x + -0.2x2 = 0.00 + 0.2x2 + -0.2x2
-0.8 + -0.15x + -0.2x2 = 0.2x2 + -0.2x2

Combine like terms: 0.2x2 + -0.2x2 = 0.0
-0.8 + -0.15x + -0.2x2 = 0.0

Begin completing the square.  Divide all terms by
-0.2 the coefficient of the squared term: 

Divide each side by '-0.2'.
4 + 0.75x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 0.75x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 0.75x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 0.75x + x2 = 0 + -4
0.75x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
0.75x + x2 = -4

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = -4 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = -4 + 0.140625

Combine like terms: -4 + 0.140625 = -3.859375
0.140625 + 0.75x + x2 = -3.859375

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = -3.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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