4.9x^2-5.9x+115=0

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Solution for 4.9x^2-5.9x+115=0 equation:


Simplifying
4.9x2 + -5.9x + 115 = 0

Reorder the terms:
115 + -5.9x + 4.9x2 = 0

Solving
115 + -5.9x + 4.9x2 = 0

Solving for variable 'x'.

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

Divide each side by '4.9'.
23.46938776 + -1.204081633x + x2 = 0

Move the constant term to the right:

Add '-23.46938776' to each side of the equation.
23.46938776 + -1.204081633x + -23.46938776 + x2 = 0 + -23.46938776

Reorder the terms:
23.46938776 + -23.46938776 + -1.204081633x + x2 = 0 + -23.46938776

Combine like terms: 23.46938776 + -23.46938776 = 0.00000000
0.00000000 + -1.204081633x + x2 = 0 + -23.46938776
-1.204081633x + x2 = 0 + -23.46938776

Combine like terms: 0 + -23.46938776 = -23.46938776
-1.204081633x + x2 = -23.46938776

The x term is -1.204081633x.  Take half its coefficient (-0.6020408165).
Square it (0.3624531447) and add it to both sides.

Add '0.3624531447' to each side of the equation.
-1.204081633x + 0.3624531447 + x2 = -23.46938776 + 0.3624531447

Reorder the terms:
0.3624531447 + -1.204081633x + x2 = -23.46938776 + 0.3624531447

Combine like terms: -23.46938776 + 0.3624531447 = -23.1069346153
0.3624531447 + -1.204081633x + x2 = -23.1069346153

Factor a perfect square on the left side:
(x + -0.6020408165)(x + -0.6020408165) = -23.1069346153

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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