(3w+10)(-2w+5)=0

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Solution for (3w+10)(-2w+5)=0 equation: 


Simplifying
(3w + 10)(-2w + 5) = 0

Reorder the terms:
(10 + 3w)(-2w + 5) = 0

Reorder the terms:
(10 + 3w)(5 + -2w) = 0

Multiply (10 + 3w) * (5 + -2w)
(10(5 + -2w) + 3w * (5 + -2w)) = 0
((5 * 10 + -2w * 10) + 3w * (5 + -2w)) = 0
((50 + -20w) + 3w * (5 + -2w)) = 0
(50 + -20w + (5 * 3w + -2w * 3w)) = 0
(50 + -20w + (15w + -6w2)) = 0

Combine like terms: -20w + 15w = -5w
(50 + -5w + -6w2) = 0

Solving
50 + -5w + -6w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(5 + -2w)(10 + 3w) = 0


Subproblem 1
Set the factor '(5 + -2w)' equal to zero and attempt to solve:

Simplifying
5 + -2w = 0

Solving
5 + -2w = 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 + -2w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2w = 0 + -5
-2w = 0 + -5

Combine like terms: 0 + -5 = -5
-2w = -5

Divide each side by '-2'.
w = 2.5

Simplifying
w = 2.5

Subproblem 2
Set the factor '(10 + 3w)' equal to zero and attempt to solve:

Simplifying
10 + 3w = 0

Solving
10 + 3w = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3w = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3w = 0 + -10
3w = 0 + -10

Combine like terms: 0 + -10 = -10
3w = -10

Divide each side by '3'.
w = -3.333333333

Simplifying
w = -3.333333333
Solution
w = {2.5, -3.333333333}

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