3w^2-(w-4)(w+3)=

Solution for 3w^2-(w-4)(w+3)= equation:

Simplifying
3w2 + -1(w + -4)(w + 3) = 0

Reorder the terms:
3w2 + -1(-4 + w)(w + 3) = 0

Reorder the terms:
3w2 + -1(-4 + w)(3 + w) = 0

Multiply (-4 + w) * (3 + w)
3w2 + -1(-4(3 + w) + w(3 + w)) = 0
3w2 + -1((3 * -4 + w * -4) + w(3 + w)) = 0
3w2 + -1((-12 + -4w) + w(3 + w)) = 0
3w2 + -1(-12 + -4w + (3 * w + w * w)) = 0
3w2 + -1(-12 + -4w + (3w + w2)) = 0

Combine like terms: -4w + 3w = -1w
3w2 + -1(-12 + -1w + w2) = 0
3w2 + (-12 * -1 + -1w * -1 + w2 * -1) = 0
3w2 + (12 + 1w + -1w2) = 0

Reorder the terms:
12 + 1w + 3w2 + -1w2 = 0

Combine like terms: 3w2 + -1w2 = 2w2
12 + 1w + 2w2 = 0

Solving
12 + 1w + 2w2 = 0

Solving for variable 'w'.

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

Divide each side by '2'.
6 + 0.5w + w2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 0.5w + -6 + w2 = 0 + -6

Reorder the terms:
6 + -6 + 0.5w + w2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 0.5w + w2 = 0 + -6
0.5w + w2 = 0 + -6

Combine like terms: 0 + -6 = -6
0.5w + w2 = -6

The w term is 0.5w.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5w + 0.0625 + w2 = -6 + 0.0625

Reorder the terms:
0.0625 + 0.5w + w2 = -6 + 0.0625

Combine like terms: -6 + 0.0625 = -5.9375
0.0625 + 0.5w + w2 = -5.9375

Factor a perfect square on the left side:
(w + 0.25)(w + 0.25) = -5.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.