0=-4.9x^2+15x-11.48

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Solution for 0=-4.9x^2+15x-11.48 equation: 


Simplifying
0 = -4.9x2 + 15x + -11.48

Reorder the terms:
0 = -11.48 + 15x + -4.9x2

Solving
0 = -11.48 + 15x + -4.9x2

Solving for variable 'x'.

Combine like terms: 0 + 11.48 = 11.48
11.48 + -15x + 4.9x2 = -11.48 + 15x + -4.9x2 + 11.48 + -15x + 4.9x2

Reorder the terms:
11.48 + -15x + 4.9x2 = -11.48 + 11.48 + 15x + -15x + -4.9x2 + 4.9x2

Combine like terms: -11.48 + 11.48 = 0.00
11.48 + -15x + 4.9x2 = 0.00 + 15x + -15x + -4.9x2 + 4.9x2
11.48 + -15x + 4.9x2 = 15x + -15x + -4.9x2 + 4.9x2

Combine like terms: 15x + -15x = 0
11.48 + -15x + 4.9x2 = 0 + -4.9x2 + 4.9x2
11.48 + -15x + 4.9x2 = -4.9x2 + 4.9x2

Combine like terms: -4.9x2 + 4.9x2 = 0.0
11.48 + -15x + 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'.
2.342857143 + -3.06122449x + x2 = 0

Move the constant term to the right:

Add '-2.342857143' to each side of the equation.
2.342857143 + -3.06122449x + -2.342857143 + x2 = 0 + -2.342857143

Reorder the terms:
2.342857143 + -2.342857143 + -3.06122449x + x2 = 0 + -2.342857143

Combine like terms: 2.342857143 + -2.342857143 = 0.000000000
0.000000000 + -3.06122449x + x2 = 0 + -2.342857143
-3.06122449x + x2 = 0 + -2.342857143

Combine like terms: 0 + -2.342857143 = -2.342857143
-3.06122449x + x2 = -2.342857143

The x term is -3.06122449x.  Take half its coefficient (-1.530612245).
Square it (2.342773845) and add it to both sides.

Add '2.342773845' to each side of the equation.
-3.06122449x + 2.342773845 + x2 = -2.342857143 + 2.342773845

Reorder the terms:
2.342773845 + -3.06122449x + x2 = -2.342857143 + 2.342773845

Combine like terms: -2.342857143 + 2.342773845 = -0.000083298
2.342773845 + -3.06122449x + x2 = -0.000083298

Factor a perfect square on the left side:
(x + -1.530612245)(x + -1.530612245) = -0.000083298

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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