10x^2-19x+15=0

Solution for 10x^2-19x+15=0 equation:

Simplifying
10x2 + -19x + 15 = 0

Reorder the terms:
15 + -19x + 10x2 = 0

Solving
15 + -19x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
1.5 + -1.9x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -1.9x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -1.9x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1.9x + x2 = 0 + -1.5
-1.9x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-1.9x + x2 = -1.5

The x term is -1.9x.  Take half its coefficient (-0.95).
Square it (0.9025) and add it to both sides.

Add '0.9025' to each side of the equation.
-1.9x + 0.9025 + x2 = -1.5 + 0.9025

Reorder the terms:
0.9025 + -1.9x + x2 = -1.5 + 0.9025

Combine like terms: -1.5 + 0.9025 = -0.5975
0.9025 + -1.9x + x2 = -0.5975

Factor a perfect square on the left side:
(x + -0.95)(x + -0.95) = -0.5975

Can't calculate square root of the right side.

The solution to this equation could not be determined.