60=10.8x-4.9x^2

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Solution for 60=10.8x-4.9x^2 equation: 


Simplifying
60 = 10.8x + -4.9x2

Solving
60 = 10.8x + -4.9x2

Solving for variable 'x'.

Reorder the terms:
60 + -10.8x + 4.9x2 = 10.8x + -10.8x + -4.9x2 + 4.9x2

Combine like terms: 10.8x + -10.8x = 0.0
60 + -10.8x + 4.9x2 = 0.0 + -4.9x2 + 4.9x2
60 + -10.8x + 4.9x2 = -4.9x2 + 4.9x2

Combine like terms: -4.9x2 + 4.9x2 = 0.0
60 + -10.8x + 4.9x2 = 0.0

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

Divide each side by '4.9'.
12.24489796 + -2.204081633x + x2 = 0

Move the constant term to the right:

Add '-12.24489796' to each side of the equation.
12.24489796 + -2.204081633x + -12.24489796 + x2 = 0 + -12.24489796

Reorder the terms:
12.24489796 + -12.24489796 + -2.204081633x + x2 = 0 + -12.24489796

Combine like terms: 12.24489796 + -12.24489796 = 0.00000000
0.00000000 + -2.204081633x + x2 = 0 + -12.24489796
-2.204081633x + x2 = 0 + -12.24489796

Combine like terms: 0 + -12.24489796 = -12.24489796
-2.204081633x + x2 = -12.24489796

The x term is -2.204081633x.  Take half its coefficient (-1.102040817).
Square it (1.214493962) and add it to both sides.

Add '1.214493962' to each side of the equation.
-2.204081633x + 1.214493962 + x2 = -12.24489796 + 1.214493962

Reorder the terms:
1.214493962 + -2.204081633x + x2 = -12.24489796 + 1.214493962

Combine like terms: -12.24489796 + 1.214493962 = -11.030403998
1.214493962 + -2.204081633x + x2 = -11.030403998

Factor a perfect square on the left side:
(x + -1.102040817)(x + -1.102040817) = -11.030403998

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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