10=8+0.8x-16x^2

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Solution for 10=8+0.8x-16x^2 equation:


Simplifying
10 = 8 + 0.8x + -16x2

Solving
10 = 8 + 0.8x + -16x2

Solving for variable 'x'.

Combine like terms: 10 + -8 = 2
2 + -0.8x + 16x2 = 8 + 0.8x + -16x2 + -8 + -0.8x + 16x2

Reorder the terms:
2 + -0.8x + 16x2 = 8 + -8 + 0.8x + -0.8x + -16x2 + 16x2

Combine like terms: 8 + -8 = 0
2 + -0.8x + 16x2 = 0 + 0.8x + -0.8x + -16x2 + 16x2
2 + -0.8x + 16x2 = 0.8x + -0.8x + -16x2 + 16x2

Combine like terms: 0.8x + -0.8x = 0.0
2 + -0.8x + 16x2 = 0.0 + -16x2 + 16x2
2 + -0.8x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
2 + -0.8x + 16x2 = 0

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

Divide each side by '16'.
0.125 + -0.05x + x2 = 0

Move the constant term to the right:

Add '-0.125' to each side of the equation.
0.125 + -0.05x + -0.125 + x2 = 0 + -0.125

Reorder the terms:
0.125 + -0.125 + -0.05x + x2 = 0 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + -0.05x + x2 = 0 + -0.125
-0.05x + x2 = 0 + -0.125

Combine like terms: 0 + -0.125 = -0.125
-0.05x + x2 = -0.125

The x term is -0.05x.  Take half its coefficient (-0.025).
Square it (0.000625) and add it to both sides.

Add '0.000625' to each side of the equation.
-0.05x + 0.000625 + x2 = -0.125 + 0.000625

Reorder the terms:
0.000625 + -0.05x + x2 = -0.125 + 0.000625

Combine like terms: -0.125 + 0.000625 = -0.124375
0.000625 + -0.05x + x2 = -0.124375

Factor a perfect square on the left side:
(x + -0.025)(x + -0.025) = -0.124375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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