16(w+3)2-49=0

Solution for 16(w+3)2-49=0 equation:

Simplifying
16(w + 3) * 2 + -49 = 0

Reorder the terms:
16(3 + w) * 2 + -49 = 0

Reorder the terms for easier multiplication:
16 * 2(3 + w) + -49 = 0

Multiply 16 * 2
32(3 + w) + -49 = 0
(3 * 32 + w * 32) + -49 = 0
(96 + 32w) + -49 = 0

Reorder the terms:
96 + -49 + 32w = 0

Combine like terms: 96 + -49 = 47
47 + 32w = 0

Solving
47 + 32w = 0

Solving for variable 'w'.

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

Add '-47' to each side of the equation.
47 + -47 + 32w = 0 + -47

Combine like terms: 47 + -47 = 0
0 + 32w = 0 + -47
32w = 0 + -47

Combine like terms: 0 + -47 = -47
32w = -47

Divide each side by '32'.
w = -1.46875

Simplifying
w = -1.46875