4(w^2z+2wz)-(w^2z-5wz)=

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Solution for 4(w^2z+2wz)-(w^2z-5wz)= equation: 


Simplifying
4(w2z + 2wz) + -1(w2z + -5wz) = 0

Reorder the terms:
4(2wz + w2z) + -1(w2z + -5wz) = 0
(2wz * 4 + w2z * 4) + -1(w2z + -5wz) = 0
(8wz + 4w2z) + -1(w2z + -5wz) = 0

Reorder the terms:
8wz + 4w2z + -1(-5wz + w2z) = 0
8wz + 4w2z + (-5wz * -1 + w2z * -1) = 0
8wz + 4w2z + (5wz + -1w2z) = 0

Reorder the terms:
8wz + 5wz + 4w2z + -1w2z = 0

Combine like terms: 8wz + 5wz = 13wz
13wz + 4w2z + -1w2z = 0

Combine like terms: 4w2z + -1w2z = 3w2z
13wz + 3w2z = 0

Solving
13wz + 3w2z = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'wz'.
wz(13 + 3w) = 0


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

Simplifying
wz = 0

Solving
wz = 0

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

Simplifying
wz = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(13 + 3w)' equal to zero and attempt to solve:

Simplifying
13 + 3w = 0

Solving
13 + 3w = 0

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

Add '-13' to each side of the equation.
13 + -13 + 3w = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 3w = 0 + -13
3w = 0 + -13

Combine like terms: 0 + -13 = -13
3w = -13

Divide each side by '3'.
w = -4.333333333

Simplifying
w = -4.333333333
Solution
w = {-4.333333333}

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