(4x+3w)(6x-7w)=

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Solution for (4x+3w)(6x-7w)= equation: 


Simplifying
(4x + 3w)(6x + -7w) = 0

Reorder the terms:
(3w + 4x)(6x + -7w) = 0

Reorder the terms:
(3w + 4x)(-7w + 6x) = 0

Multiply (3w + 4x) * (-7w + 6x)
(3w * (-7w + 6x) + 4x * (-7w + 6x)) = 0
((-7w * 3w + 6x * 3w) + 4x * (-7w + 6x)) = 0

Reorder the terms:
((18wx + -21w2) + 4x * (-7w + 6x)) = 0
((18wx + -21w2) + 4x * (-7w + 6x)) = 0
(18wx + -21w2 + (-7w * 4x + 6x * 4x)) = 0
(18wx + -21w2 + (-28wx + 24x2)) = 0

Reorder the terms:
(18wx + -28wx + -21w2 + 24x2) = 0

Combine like terms: 18wx + -28wx = -10wx
(-10wx + -21w2 + 24x2) = 0

Solving
-10wx + -21w2 + 24x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-3w + -4x)(7w + -6x) = 0


Subproblem 1
Set the factor '(-3w + -4x)' equal to zero and attempt to solve:

Simplifying
-3w + -4x = 0

Solving
-3w + -4x = 0

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

Add '4x' to each side of the equation.
-3w + -4x + 4x = 0 + 4x

Combine like terms: -4x + 4x = 0
-3w + 0 = 0 + 4x
-3w = 0 + 4x
Remove the zero:
-3w = 4x

Divide each side by '-3'.
w = -1.333333333x

Simplifying
w = -1.333333333x

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 = {-1.333333333x, 0.8571428571x}

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