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

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


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

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

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

Multiply (-1 + w) * (4 + 3w)
W(-1(4 + 3w) + w(4 + 3w)) = 0
W((4 * -1 + 3w * -1) + w(4 + 3w)) = 0
W((-4 + -3w) + w(4 + 3w)) = 0
W(-4 + -3w + (4 * w + 3w * w)) = 0
W(-4 + -3w + (4w + 3w2)) = 0

Combine like terms: -3w + 4w = 1w
W(-4 + 1w + 3w2) = 0
(-4 * W + 1w * W + 3w2 * W) = 0
(-4W + 1wW + 3w2W) = 0

Solving
-4W + 1wW + 3w2W = 0

Solving for variable 'W'.

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

Factor out the Greatest Common Factor (GCF), 'W'.
W(-4 + w + 3w2) = 0

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


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 '(-4 + -3w)' equal to zero and attempt to solve:

Simplifying
-4 + -3w = 0

Solving
-4 + -3w = 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 + -3w = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3w = 0 + 4
-3w = 0 + 4

Combine like terms: 0 + 4 = 4
-3w = 4

Add '3w' to each side of the equation.
-3w + 3w = 4 + 3w

Combine like terms: -3w + 3w = 0
0 = 4 + 3w

Simplifying
0 = 4 + 3w

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Simplifying
1 + -1w = 0

Solving
1 + -1w = 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 + -1w = 0 + -1

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

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

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

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

Simplifying
0 = -1 + w

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
W = {0}

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