-20x^2+7x-12=0

Solution for -20x^2+7x-12=0 equation:

Simplifying
-20x2 + 7x + -12 = 0

Reorder the terms:
-12 + 7x + -20x2 = 0

Solving
-12 + 7x + -20x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-20 the coefficient of the squared term: 

Divide each side by '-20'.
0.6 + -0.35x + x2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -0.35x + -0.6 + x2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -0.35x + x2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.35x + x2 = 0 + -0.6
-0.35x + x2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-0.35x + x2 = -0.6

The x term is -0.35x.  Take half its coefficient (-0.175).
Square it (0.030625) and add it to both sides.

Add '0.030625' to each side of the equation.
-0.35x + 0.030625 + x2 = -0.6 + 0.030625

Reorder the terms:
0.030625 + -0.35x + x2 = -0.6 + 0.030625

Combine like terms: -0.6 + 0.030625 = -0.569375
0.030625 + -0.35x + x2 = -0.569375

Factor a perfect square on the left side:
(x + -0.175)(x + -0.175) = -0.569375

Can't calculate square root of the right side.

The solution to this equation could not be determined.