(6x-w)(7x+w)=

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Solution for (6x-w)(7x+w)= equation: 


Simplifying
(6x + -1w)(7x + w) = 0

Reorder the terms:
(-1w + 6x)(7x + w) = 0

Reorder the terms:
(-1w + 6x)(w + 7x) = 0

Multiply (-1w + 6x) * (w + 7x)
(-1w * (w + 7x) + 6x * (w + 7x)) = 0
((w * -1w + 7x * -1w) + 6x * (w + 7x)) = 0

Reorder the terms:
((-7wx + -1w2) + 6x * (w + 7x)) = 0
((-7wx + -1w2) + 6x * (w + 7x)) = 0
(-7wx + -1w2 + (w * 6x + 7x * 6x)) = 0
(-7wx + -1w2 + (6wx + 42x2)) = 0

Reorder the terms:
(-7wx + 6wx + -1w2 + 42x2) = 0

Combine like terms: -7wx + 6wx = -1wx
(-1wx + -1w2 + 42x2) = 0

Solving
-1wx + -1w2 + 42x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-1w + -7x)(w + -6x) = 0


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

Simplifying
-1w + -7x = 0

Solving
-1w + -7x = 0

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

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

Combine like terms: -7x + 7x = 0
-1w + 0 = 0 + 7x
-1w = 0 + 7x
Remove the zero:
-1w = 7x

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

Simplifying
w = -7x

Subproblem 2
Set the factor '(w + -6x)' equal to zero and attempt to solve:

Simplifying
w + -6x = 0

Solving
w + -6x = 0

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

Add '6x' to each side of the equation.
w + -6x + 6x = 0 + 6x

Combine like terms: -6x + 6x = 0
w + 0 = 0 + 6x
w = 0 + 6x
Remove the zero:
w = 6x

Simplifying
w = 6x
Solution
w = {-7x, 6x}

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