(4w+3)(5-w)=0

Solution for (4w+3)(5-w)=0 equation:

Simplifying
(4w + 3)(5 + -1w) = 0

Reorder the terms:
(3 + 4w)(5 + -1w) = 0

Multiply (3 + 4w) * (5 + -1w)
(3(5 + -1w) + 4w * (5 + -1w)) = 0
((5 * 3 + -1w * 3) + 4w * (5 + -1w)) = 0
((15 + -3w) + 4w * (5 + -1w)) = 0
(15 + -3w + (5 * 4w + -1w * 4w)) = 0
(15 + -3w + (20w + -4w2)) = 0

Combine like terms: -3w + 20w = 17w
(15 + 17w + -4w2) = 0

Solving
15 + 17w + -4w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(5 + -1w)(3 + 4w) = 0

Subproblem 1
Set the factor '(5 + -1w)' equal to zero and attempt to solve:

Simplifying
5 + -1w = 0

Solving
5 + -1w = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1w = 0 + -5
-1w = 0 + -5

Combine like terms: 0 + -5 = -5
-1w = -5

Divide each side by '-1'.
w = 5

Simplifying
w = 5
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 = {5, -0.75}