13w^2-14w=-4

Solution for 13w^2-14w=-4 equation:

Simplifying
13w2 + -14w = -4

Reorder the terms:
-14w + 13w2 = -4

Solving
-14w + 13w2 = -4

Solving for variable 'w'.

Reorder the terms:
4 + -14w + 13w2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -14w + 13w2 = 0

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

Divide each side by '13'.
0.3076923077 + -1.076923077w + w2 = 0

Move the constant term to the right:

Add '-0.3076923077' to each side of the equation.
0.3076923077 + -1.076923077w + -0.3076923077 + w2 = 0 + -0.3076923077

Reorder the terms:
0.3076923077 + -0.3076923077 + -1.076923077w + w2 = 0 + -0.3076923077

Combine like terms: 0.3076923077 + -0.3076923077 = 0.0000000000
0.0000000000 + -1.076923077w + w2 = 0 + -0.3076923077
-1.076923077w + w2 = 0 + -0.3076923077

Combine like terms: 0 + -0.3076923077 = -0.3076923077
-1.076923077w + w2 = -0.3076923077

The w term is -1.076923077w.  Take half its coefficient (-0.5384615385).
Square it (0.2899408284) and add it to both sides.

Add '0.2899408284' to each side of the equation.
-1.076923077w + 0.2899408284 + w2 = -0.3076923077 + 0.2899408284

Reorder the terms:
0.2899408284 + -1.076923077w + w2 = -0.3076923077 + 0.2899408284

Combine like terms: -0.3076923077 + 0.2899408284 = -0.0177514793
0.2899408284 + -1.076923077w + w2 = -0.0177514793

Factor a perfect square on the left side:
(w + -0.5384615385)(w + -0.5384615385) = -0.0177514793

Can't calculate square root of the right side.

The solution to this equation could not be determined.