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

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


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

Remove parenthesis around (-2w)
-2w(2w + -3)(3w + 10) = 0

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

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

Multiply (-3 + 2w) * (10 + 3w)
-2w(-3(10 + 3w) + 2w * (10 + 3w)) = 0
-2w((10 * -3 + 3w * -3) + 2w * (10 + 3w)) = 0
-2w((-30 + -9w) + 2w * (10 + 3w)) = 0
-2w(-30 + -9w + (10 * 2w + 3w * 2w)) = 0
-2w(-30 + -9w + (20w + 6w2)) = 0

Combine like terms: -9w + 20w = 11w
-2w(-30 + 11w + 6w2) = 0
(-30 * -2w + 11w * -2w + 6w2 * -2w) = 0
(60w + -22w2 + -12w3) = 0

Solving
60w + -22w2 + -12w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2w'.
2w(30 + -11w + -6w2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

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

Simplifying
3 + -2w = 0

Solving
3 + -2w = 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 + -2w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2w = 0 + -3
-2w = 0 + -3

Combine like terms: 0 + -3 = -3
-2w = -3

Divide each side by '-2'.
w = 1.5

Simplifying
w = 1.5

Subproblem 3
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 = {0, 1.5, -3.333333333}

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