20x(4-x)=80+2x+15

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Solution for 20x(4-x)=80+2x+15 equation: 


Simplifying
20x(4 + -1x) = 80 + 2x + 15
(4 * 20x + -1x * 20x) = 80 + 2x + 15
(80x + -20x2) = 80 + 2x + 15

Reorder the terms:
80x + -20x2 = 80 + 15 + 2x

Combine like terms: 80 + 15 = 95
80x + -20x2 = 95 + 2x

Solving
80x + -20x2 = 95 + 2x

Solving for variable 'x'.

Reorder the terms:
-95 + 80x + -2x + -20x2 = 95 + 2x + -95 + -2x

Combine like terms: 80x + -2x = 78x
-95 + 78x + -20x2 = 95 + 2x + -95 + -2x

Reorder the terms:
-95 + 78x + -20x2 = 95 + -95 + 2x + -2x

Combine like terms: 95 + -95 = 0
-95 + 78x + -20x2 = 0 + 2x + -2x
-95 + 78x + -20x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-95 + 78x + -20x2 = 0

Begin completing the square.  Divide all terms by
-20 the coefficient of the squared term: 

Divide each side by '-20'.
4.75 + -3.9x + x2 = 0.0

Move the constant term to the right:

Add '-4.75' to each side of the equation.
4.75 + -3.9x + -4.75 + x2 = 0.0 + -4.75

Reorder the terms:
4.75 + -4.75 + -3.9x + x2 = 0.0 + -4.75

Combine like terms: 4.75 + -4.75 = 0.00
0.00 + -3.9x + x2 = 0.0 + -4.75
-3.9x + x2 = 0.0 + -4.75

Combine like terms: 0.0 + -4.75 = -4.75
-3.9x + x2 = -4.75

The x term is -3.9x.  Take half its coefficient (-1.95).
Square it (3.8025) and add it to both sides.

Add '3.8025' to each side of the equation.
-3.9x + 3.8025 + x2 = -4.75 + 3.8025

Reorder the terms:
3.8025 + -3.9x + x2 = -4.75 + 3.8025

Combine like terms: -4.75 + 3.8025 = -0.9475
3.8025 + -3.9x + x2 = -0.9475

Factor a perfect square on the left side:
(x + -1.95)(x + -1.95) = -0.9475

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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