16x^2-13x=-20

Solution for 16x^2-13x=-20 equation:

Simplifying
16x2 + -13x = -20

Reorder the terms:
-13x + 16x2 = -20

Solving
-13x + 16x2 = -20

Solving for variable 'x'.

Reorder the terms:
20 + -13x + 16x2 = -20 + 20

Combine like terms: -20 + 20 = 0
20 + -13x + 16x2 = 0

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

Divide each side by '16'.
1.25 + -0.8125x + x2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -0.8125x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -0.8125x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -0.8125x + x2 = 0 + -1.25
-0.8125x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-0.8125x + x2 = -1.25

The x term is -0.8125x.  Take half its coefficient (-0.40625).
Square it (0.1650390625) and add it to both sides.

Add '0.1650390625' to each side of the equation.
-0.8125x + 0.1650390625 + x2 = -1.25 + 0.1650390625

Reorder the terms:
0.1650390625 + -0.8125x + x2 = -1.25 + 0.1650390625

Combine like terms: -1.25 + 0.1650390625 = -1.0849609375
0.1650390625 + -0.8125x + x2 = -1.0849609375

Factor a perfect square on the left side:
(x + -0.40625)(x + -0.40625) = -1.0849609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.