5w(11w+8)(w-9)=0

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Solution for 5w(11w+8)(w-9)=0 equation: 


Simplifying
5w(11w + 8)(w + -9) = 0

Reorder the terms:
5w(8 + 11w)(w + -9) = 0

Reorder the terms:
5w(8 + 11w)(-9 + w) = 0

Multiply (8 + 11w) * (-9 + w)
5w(8(-9 + w) + 11w * (-9 + w)) = 0
5w((-9 * 8 + w * 8) + 11w * (-9 + w)) = 0
5w((-72 + 8w) + 11w * (-9 + w)) = 0
5w(-72 + 8w + (-9 * 11w + w * 11w)) = 0
5w(-72 + 8w + (-99w + 11w2)) = 0

Combine like terms: 8w + -99w = -91w
5w(-72 + -91w + 11w2) = 0
(-72 * 5w + -91w * 5w + 11w2 * 5w) = 0
(-360w + -455w2 + 55w3) = 0

Solving
-360w + -455w2 + 55w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5w'.
5w(-72 + -91w + 11w2) = 0

Factor a trinomial.
5w((-8 + -11w)(9 + -1w)) = 0

Ignore the factor 5.

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 '(-8 + -11w)' equal to zero and attempt to solve:

Simplifying
-8 + -11w = 0

Solving
-8 + -11w = 0

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

Add '8' to each side of the equation.
-8 + 8 + -11w = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -11w = 0 + 8
-11w = 0 + 8

Combine like terms: 0 + 8 = 8
-11w = 8

Divide each side by '-11'.
w = -0.7272727273

Simplifying
w = -0.7272727273

Subproblem 3
Set the factor '(9 + -1w)' equal to zero and attempt to solve:

Simplifying
9 + -1w = 0

Solving
9 + -1w = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1w = 0 + -9
-1w = 0 + -9

Combine like terms: 0 + -9 = -9
-1w = -9

Divide each side by '-1'.
w = 9

Simplifying
w = 9
Solution
w = {0, -0.7272727273, 9}

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