15=-.8x^2+1.6x+10

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Solution for 15=-.8x^2+1.6x+10 equation: 


Simplifying
15 = -0.8x2 + 1.6x + 10

Reorder the terms:
15 = 10 + 1.6x + -0.8x2

Solving
15 = 10 + 1.6x + -0.8x2

Solving for variable 'x'.

Combine like terms: 15 + -10 = 5
5 + -1.6x + 0.8x2 = 10 + 1.6x + -0.8x2 + -10 + -1.6x + 0.8x2

Reorder the terms:
5 + -1.6x + 0.8x2 = 10 + -10 + 1.6x + -1.6x + -0.8x2 + 0.8x2

Combine like terms: 10 + -10 = 0
5 + -1.6x + 0.8x2 = 0 + 1.6x + -1.6x + -0.8x2 + 0.8x2
5 + -1.6x + 0.8x2 = 1.6x + -1.6x + -0.8x2 + 0.8x2

Combine like terms: 1.6x + -1.6x = 0.0
5 + -1.6x + 0.8x2 = 0.0 + -0.8x2 + 0.8x2
5 + -1.6x + 0.8x2 = -0.8x2 + 0.8x2

Combine like terms: -0.8x2 + 0.8x2 = 0.0
5 + -1.6x + 0.8x2 = 0.0

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

Divide each side by '0.8'.
6.25 + -2x + x2 = 0

Move the constant term to the right:

Add '-6.25' to each side of the equation.
6.25 + -2x + -6.25 + x2 = 0 + -6.25

Reorder the terms:
6.25 + -6.25 + -2x + x2 = 0 + -6.25

Combine like terms: 6.25 + -6.25 = 0.00
0.00 + -2x + x2 = 0 + -6.25
-2x + x2 = 0 + -6.25

Combine like terms: 0 + -6.25 = -6.25
-2x + x2 = -6.25

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -6.25 + 1

Reorder the terms:
1 + -2x + x2 = -6.25 + 1

Combine like terms: -6.25 + 1 = -5.25
1 + -2x + x2 = -5.25

Factor a perfect square on the left side:
(x + -1)(x + -1) = -5.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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