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

Solution for (5w-3)(4w+1)= equation:

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

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

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

Multiply (-3 + 5w) * (1 + 4w)
(-3(1 + 4w) + 5w * (1 + 4w)) = 0
((1 * -3 + 4w * -3) + 5w * (1 + 4w)) = 0
((-3 + -12w) + 5w * (1 + 4w)) = 0
(-3 + -12w + (1 * 5w + 4w * 5w)) = 0
(-3 + -12w + (5w + 20w2)) = 0

Combine like terms: -12w + 5w = -7w
(-3 + -7w + 20w2) = 0

Solving
-3 + -7w + 20w2 = 0

Solving for variable 'w'.

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

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

Simplifying
-1 + -4w = 0

Solving
-1 + -4w = 0

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

Add '1' to each side of the equation.
-1 + 1 + -4w = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4w = 0 + 1
-4w = 0 + 1

Combine like terms: 0 + 1 = 1
-4w = 1

Divide each side by '-4'.
w = -0.25

Simplifying
w = -0.25
Subproblem 2
Set the factor '(3 + -5w)' equal to zero and attempt to solve:

Simplifying
3 + -5w = 0

Solving
3 + -5w = 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 + -5w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5w = 0 + -3
-5w = 0 + -3

Combine like terms: 0 + -3 = -3
-5w = -3

Divide each side by '-5'.
w = 0.6

Simplifying
w = 0.6
Solution
w = {-0.25, 0.6}