(x+5w)(6x-7w)=

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Solution for (x+5w)(6x-7w)= equation: 


Simplifying
(x + 5w)(6x + -7w) = 0

Reorder the terms:
(5w + x)(6x + -7w) = 0

Reorder the terms:
(5w + x)(-7w + 6x) = 0

Multiply (5w + x) * (-7w + 6x)
(5w * (-7w + 6x) + x(-7w + 6x)) = 0
((-7w * 5w + 6x * 5w) + x(-7w + 6x)) = 0

Reorder the terms:
((30wx + -35w2) + x(-7w + 6x)) = 0
((30wx + -35w2) + x(-7w + 6x)) = 0
(30wx + -35w2 + (-7w * x + 6x * x)) = 0
(30wx + -35w2 + (-7wx + 6x2)) = 0

Reorder the terms:
(30wx + -7wx + -35w2 + 6x2) = 0

Combine like terms: 30wx + -7wx = 23wx
(23wx + -35w2 + 6x2) = 0

Solving
23wx + -35w2 + 6x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-5w + -1x)(7w + -6x) = 0


Subproblem 1
Set the factor '(-5w + -1x)' equal to zero and attempt to solve:

Simplifying
-5w + -1x = 0

Solving
-5w + -1x = 0

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

Add 'x' to each side of the equation.
-5w + -1x + x = 0 + x

Combine like terms: -1x + x = 0
-5w + 0 = 0 + x
-5w = 0 + x
Remove the zero:
-5w = x

Divide each side by '-5'.
w = -0.2x

Simplifying
w = -0.2x

Subproblem 2
Set the factor '(7w + -6x)' equal to zero and attempt to solve:

Simplifying
7w + -6x = 0

Solving
7w + -6x = 0

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

Add '6x' to each side of the equation.
7w + -6x + 6x = 0 + 6x

Combine like terms: -6x + 6x = 0
7w + 0 = 0 + 6x
7w = 0 + 6x
Remove the zero:
7w = 6x

Divide each side by '7'.
w = 0.8571428571x

Simplifying
w = 0.8571428571x
Solution
w = {-0.2x, 0.8571428571x}

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