-3w+9=-7w^2

Solution for -3w+9=-7w^2 equation:

Simplifying
-3w + 9 = -7w2

Reorder the terms:
9 + -3w = -7w2

Solving
9 + -3w = -7w2

Solving for variable 'w'.

Combine like terms: -7w2 + 7w2 = 0
9 + -3w + 7w2 = 0

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

Divide each side by '7'.
1.285714286 + -0.4285714286w + w2 = 0

Move the constant term to the right:

Add '-1.285714286' to each side of the equation.
1.285714286 + -0.4285714286w + -1.285714286 + w2 = 0 + -1.285714286

Reorder the terms:
1.285714286 + -1.285714286 + -0.4285714286w + w2 = 0 + -1.285714286

Combine like terms: 1.285714286 + -1.285714286 = 0.000000000
0.000000000 + -0.4285714286w + w2 = 0 + -1.285714286
-0.4285714286w + w2 = 0 + -1.285714286

Combine like terms: 0 + -1.285714286 = -1.285714286
-0.4285714286w + w2 = -1.285714286

The w term is -0.4285714286w.  Take half its coefficient (-0.2142857143).
Square it (0.04591836735) and add it to both sides.

Add '0.04591836735' to each side of the equation.
-0.4285714286w + 0.04591836735 + w2 = -1.285714286 + 0.04591836735

Reorder the terms:
0.04591836735 + -0.4285714286w + w2 = -1.285714286 + 0.04591836735

Combine like terms: -1.285714286 + 0.04591836735 = -1.23979591865
0.04591836735 + -0.4285714286w + w2 = -1.23979591865

Factor a perfect square on the left side:
(w + -0.2142857143)(w + -0.2142857143) = -1.23979591865

Can't calculate square root of the right side.

The solution to this equation could not be determined.