w^2-13w^2+40=0

Solution for w^2-13w^2+40=0 equation:

Simplifying
w2 + -13w2 + 40 = 0

Reorder the terms:
40 + w2 + -13w2 = 0

Combine like terms: w2 + -13w2 = -12w2
40 + -12w2 = 0

Solving
40 + -12w2 = 0

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-40' to each side of the equation.
40 + -40 + -12w2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -12w2 = 0 + -40
-12w2 = 0 + -40

Combine like terms: 0 + -40 = -40
-12w2 = -40

Divide each side by '-12'.
w2 = 3.333333333

Simplifying
w2 = 3.333333333

Take the square root of each side:
w = {-1.825741858, 1.825741858}