(5w-3x)(7x-6w)=

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Solution for (5w-3x)(7x-6w)= equation: 


Simplifying
(5w + -3x)(7x + -6w) = 0

Reorder the terms:
(5w + -3x)(-6w + 7x) = 0

Multiply (5w + -3x) * (-6w + 7x)
(5w * (-6w + 7x) + -3x * (-6w + 7x)) = 0
((-6w * 5w + 7x * 5w) + -3x * (-6w + 7x)) = 0

Reorder the terms:
((35wx + -30w2) + -3x * (-6w + 7x)) = 0
((35wx + -30w2) + -3x * (-6w + 7x)) = 0
(35wx + -30w2 + (-6w * -3x + 7x * -3x)) = 0
(35wx + -30w2 + (18wx + -21x2)) = 0

Reorder the terms:
(35wx + 18wx + -30w2 + -21x2) = 0

Combine like terms: 35wx + 18wx = 53wx
(53wx + -30w2 + -21x2) = 0

Solving
53wx + -30w2 + -21x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-5w + 3x)(6w + -7x) = 0


Subproblem 1
Set the factor '(-5w + 3x)' equal to zero and attempt to solve:

Simplifying
-5w + 3x = 0

Solving
-5w + 3x = 0

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

Add '-3x' to each side of the equation.
-5w + 3x + -3x = 0 + -3x

Combine like terms: 3x + -3x = 0
-5w + 0 = 0 + -3x
-5w = 0 + -3x
Remove the zero:
-5w = -3x

Divide each side by '-5'.
w = 0.6x

Simplifying
w = 0.6x

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

Simplifying
6w + -7x = 0

Solving
6w + -7x = 0

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

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

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

Divide each side by '6'.
w = 1.166666667x

Simplifying
w = 1.166666667x
Solution
w = {0.6x, 1.166666667x}

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