14.4x^2-35x+49=0

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Solution for 14.4x^2-35x+49=0 equation:


Simplifying
14.4x2 + -35x + 49 = 0

Reorder the terms:
49 + -35x + 14.4x2 = 0

Solving
49 + -35x + 14.4x2 = 0

Solving for variable 'x'.

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

Divide each side by '14.4'.
3.402777778 + -2.430555556x + x2 = 0

Move the constant term to the right:

Add '-3.402777778' to each side of the equation.
3.402777778 + -2.430555556x + -3.402777778 + x2 = 0 + -3.402777778

Reorder the terms:
3.402777778 + -3.402777778 + -2.430555556x + x2 = 0 + -3.402777778

Combine like terms: 3.402777778 + -3.402777778 = 0.000000000
0.000000000 + -2.430555556x + x2 = 0 + -3.402777778
-2.430555556x + x2 = 0 + -3.402777778

Combine like terms: 0 + -3.402777778 = -3.402777778
-2.430555556x + x2 = -3.402777778

The x term is -2.430555556x.  Take half its coefficient (-1.215277778).
Square it (1.476900078) and add it to both sides.

Add '1.476900078' to each side of the equation.
-2.430555556x + 1.476900078 + x2 = -3.402777778 + 1.476900078

Reorder the terms:
1.476900078 + -2.430555556x + x2 = -3.402777778 + 1.476900078

Combine like terms: -3.402777778 + 1.476900078 = -1.9258777
1.476900078 + -2.430555556x + x2 = -1.9258777

Factor a perfect square on the left side:
(x + -1.215277778)(x + -1.215277778) = -1.9258777

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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