(5w+4)(2-w)=0

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Solution for (5w+4)(2-w)=0 equation: 


Simplifying
(5w + 4)(2 + -1w) = 0

Reorder the terms:
(4 + 5w)(2 + -1w) = 0

Multiply (4 + 5w) * (2 + -1w)
(4(2 + -1w) + 5w * (2 + -1w)) = 0
((2 * 4 + -1w * 4) + 5w * (2 + -1w)) = 0
((8 + -4w) + 5w * (2 + -1w)) = 0
(8 + -4w + (2 * 5w + -1w * 5w)) = 0
(8 + -4w + (10w + -5w2)) = 0

Combine like terms: -4w + 10w = 6w
(8 + 6w + -5w2) = 0

Solving
8 + 6w + -5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(2 + -1w)(4 + 5w) = 0


Subproblem 1
Set the factor '(2 + -1w)' equal to zero and attempt to solve:

Simplifying
2 + -1w = 0

Solving
2 + -1w = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1w = 0 + -2
-1w = 0 + -2

Combine like terms: 0 + -2 = -2
-1w = -2

Divide each side by '-1'.
w = 2

Simplifying
w = 2

Subproblem 2
Set the factor '(4 + 5w)' equal to zero and attempt to solve:

Simplifying
4 + 5w = 0

Solving
4 + 5w = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5w = 0 + -4
5w = 0 + -4

Combine like terms: 0 + -4 = -4
5w = -4

Divide each side by '5'.
w = -0.8

Simplifying
w = -0.8
Solution
w = {2, -0.8}

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