3(w^2+w)=168

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Solution for 3(w^2+w)=168 equation: 


Simplifying
3(w2 + w) = 168

Reorder the terms:
3(w + w2) = 168
(w * 3 + w2 * 3) = 168
(3w + 3w2) = 168

Solving
3w + 3w2 = 168

Solving for variable 'w'.

Reorder the terms:
-168 + 3w + 3w2 = 168 + -168

Combine like terms: 168 + -168 = 0
-168 + 3w + 3w2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-56 + w + w2) = 0

Factor a trinomial.
3((-8 + -1w)(7 + -1w)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-8 + -1w)' equal to zero and attempt to solve:

Simplifying
-8 + -1w = 0

Solving
-8 + -1w = 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 + -1w = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1w = 0 + 8
-1w = 0 + 8

Combine like terms: 0 + 8 = 8
-1w = 8

Divide each side by '-1'.
w = -8

Simplifying
w = -8

Subproblem 2
Set the factor '(7 + -1w)' equal to zero and attempt to solve:

Simplifying
7 + -1w = 0

Solving
7 + -1w = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1w = 0 + -7
-1w = 0 + -7

Combine like terms: 0 + -7 = -7
-1w = -7

Divide each side by '-1'.
w = 7

Simplifying
w = 7
Solution
w = {-8, 7}

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