-80=12x+4.8x^2

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Solution for -80=12x+4.8x^2 equation: 


Simplifying
-80 = 12x + 4.8x2

Solving
-80 = 12x + 4.8x2

Solving for variable 'x'.

Reorder the terms:
-80 + -12x + -4.8x2 = 12x + -12x + 4.8x2 + -4.8x2

Combine like terms: 12x + -12x = 0
-80 + -12x + -4.8x2 = 0 + 4.8x2 + -4.8x2
-80 + -12x + -4.8x2 = 4.8x2 + -4.8x2

Combine like terms: 4.8x2 + -4.8x2 = 0.0
-80 + -12x + -4.8x2 = 0.0

Begin completing the square.  Divide all terms by
-4.8 the coefficient of the squared term: 

Divide each side by '-4.8'.
16.66666667 + 2.5x + x2 = 0

Move the constant term to the right:

Add '-16.66666667' to each side of the equation.
16.66666667 + 2.5x + -16.66666667 + x2 = 0 + -16.66666667

Reorder the terms:
16.66666667 + -16.66666667 + 2.5x + x2 = 0 + -16.66666667

Combine like terms: 16.66666667 + -16.66666667 = 0.00000000
0.00000000 + 2.5x + x2 = 0 + -16.66666667
2.5x + x2 = 0 + -16.66666667

Combine like terms: 0 + -16.66666667 = -16.66666667
2.5x + x2 = -16.66666667

The x term is 2.5x.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5x + 1.5625 + x2 = -16.66666667 + 1.5625

Reorder the terms:
1.5625 + 2.5x + x2 = -16.66666667 + 1.5625

Combine like terms: -16.66666667 + 1.5625 = -15.10416667
1.5625 + 2.5x + x2 = -15.10416667

Factor a perfect square on the left side:
(x + 1.25)(x + 1.25) = -15.10416667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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