(4w^2-15)-(-15w^2)=

Solution for (4w^2-15)-(-15w^2)= equation:

Simplifying
(4w2 + -15) + -1(-15w2) = 0

Reorder the terms:
(-15 + 4w2) + -1(-15w2) = 0

Remove parenthesis around (-15 + 4w2)
-15 + 4w2 + -1(-15w2) = 0

Remove parenthesis around (-15w2)
-15 + 4w2 + -1 * -15w2 = 0

Multiply -1 * -15
-15 + 4w2 + 15w2 = 0

Combine like terms: 4w2 + 15w2 = 19w2
-15 + 19w2 = 0

Solving
-15 + 19w2 = 0

Solving for variable 'w'.

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

Add '15' to each side of the equation.
-15 + 15 + 19w2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 19w2 = 0 + 15
19w2 = 0 + 15

Combine like terms: 0 + 15 = 15
19w2 = 15

Divide each side by '19'.
w2 = 0.7894736842

Simplifying
w2 = 0.7894736842

Take the square root of each side:
w = {-0.888523317, 0.888523317}