(1w^2+w^1-4)+(7w^2-4w+8)=

Solution for (1w^2+w^1-4)+(7w^2-4w+8)= equation:

Simplifying
(1w2 + w + -4) + (7w2 + -4w + 8) = 0

Reorder the terms:
(-4 + w + 1w2) + (7w2 + -4w + 8) = 0

Remove parenthesis around (-4 + w + 1w2)
-4 + w + 1w2 + (7w2 + -4w + 8) = 0

Reorder the terms:
-4 + w + 1w2 + (8 + -4w + 7w2) = 0

Remove parenthesis around (8 + -4w + 7w2)
-4 + w + 1w2 + 8 + -4w + 7w2 = 0

Reorder the terms:
-4 + 8 + w + -4w + 1w2 + 7w2 = 0

Combine like terms: -4 + 8 = 4
4 + w + -4w + 1w2 + 7w2 = 0

Combine like terms: w + -4w = -3w
4 + -3w + 1w2 + 7w2 = 0

Combine like terms: 1w2 + 7w2 = 8w2
4 + -3w + 8w2 = 0

Solving
4 + -3w + 8w2 = 0

Solving for variable 'w'.

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

Divide each side by '8'.
0.5 + -0.375w + w2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.375w + -0.5 + w2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.375w + w2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.375w + w2 = 0 + -0.5
-0.375w + w2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.375w + w2 = -0.5

The w term is -0.375w.  Take half its coefficient (-0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
-0.375w + 0.03515625 + w2 = -0.5 + 0.03515625

Reorder the terms:
0.03515625 + -0.375w + w2 = -0.5 + 0.03515625

Combine like terms: -0.5 + 0.03515625 = -0.46484375
0.03515625 + -0.375w + w2 = -0.46484375

Factor a perfect square on the left side:
(w + -0.1875)(w + -0.1875) = -0.46484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.