20x^2-11x=-42

Solution for 20x^2-11x=-42 equation:

Simplifying
20x2 + -11x = -42

Reorder the terms:
-11x + 20x2 = -42

Solving
-11x + 20x2 = -42

Solving for variable 'x'.

Reorder the terms:
42 + -11x + 20x2 = -42 + 42

Combine like terms: -42 + 42 = 0
42 + -11x + 20x2 = 0

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

Divide each side by '20'.
2.1 + -0.55x + x2 = 0

Move the constant term to the right:

Add '-2.1' to each side of the equation.
2.1 + -0.55x + -2.1 + x2 = 0 + -2.1

Reorder the terms:
2.1 + -2.1 + -0.55x + x2 = 0 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + -0.55x + x2 = 0 + -2.1
-0.55x + x2 = 0 + -2.1

Combine like terms: 0 + -2.1 = -2.1
-0.55x + x2 = -2.1

The x term is -0.55x.  Take half its coefficient (-0.275).
Square it (0.075625) and add it to both sides.

Add '0.075625' to each side of the equation.
-0.55x + 0.075625 + x2 = -2.1 + 0.075625

Reorder the terms:
0.075625 + -0.55x + x2 = -2.1 + 0.075625

Combine like terms: -2.1 + 0.075625 = -2.024375
0.075625 + -0.55x + x2 = -2.024375

Factor a perfect square on the left side:
(x + -0.275)(x + -0.275) = -2.024375

Can't calculate square root of the right side.

The solution to this equation could not be determined.