5x^2-19x+30=0

Solution for 5x^2-19x+30=0 equation:

Simplifying
5x2 + -19x + 30 = 0

Reorder the terms:
30 + -19x + 5x2 = 0

Solving
30 + -19x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
6 + -3.8x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -3.8x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -3.8x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3.8x + x2 = 0 + -6
-3.8x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-3.8x + x2 = -6

The x term is -3.8x.  Take half its coefficient (-1.9).
Square it (3.61) and add it to both sides.

Add '3.61' to each side of the equation.
-3.8x + 3.61 + x2 = -6 + 3.61

Reorder the terms:
3.61 + -3.8x + x2 = -6 + 3.61

Combine like terms: -6 + 3.61 = -2.39
3.61 + -3.8x + x2 = -2.39

Factor a perfect square on the left side:
(x + -1.9)(x + -1.9) = -2.39

Can't calculate square root of the right side.

The solution to this equation could not be determined.