(4w+3)(4w+3)=

Solution for (4w+3)(4w+3)= equation:

Simplifying
(4w + 3)(4w + 3) = 0

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

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

Multiply (3 + 4w) * (3 + 4w)
(3(3 + 4w) + 4w * (3 + 4w)) = 0
((3 * 3 + 4w * 3) + 4w * (3 + 4w)) = 0
((9 + 12w) + 4w * (3 + 4w)) = 0
(9 + 12w + (3 * 4w + 4w * 4w)) = 0
(9 + 12w + (12w + 16w2)) = 0

Combine like terms: 12w + 12w = 24w
(9 + 24w + 16w2) = 0

Solving
9 + 24w + 16w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(3 + 4w)(3 + 4w) = 0

Subproblem 1
Set the factor '(3 + 4w)' equal to zero and attempt to solve:

Simplifying
3 + 4w = 0

Solving
3 + 4w = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4w = 0 + -3
4w = 0 + -3

Combine like terms: 0 + -3 = -3
4w = -3

Divide each side by '4'.
w = -0.75

Simplifying
w = -0.75
Subproblem 2
Set the factor '(3 + 4w)' equal to zero and attempt to solve:

Simplifying
3 + 4w = 0

Solving
3 + 4w = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4w = 0 + -3
4w = 0 + -3

Combine like terms: 0 + -3 = -3
4w = -3

Divide each side by '4'.
w = -0.75

Simplifying
w = -0.75
Solution
w = {-0.75, -0.75}