(7x-4y)(4x+3y)=

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


Simplifying
(7x + -4y)(4x + 3y) = 0

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

Reorder the terms:
((21xy + 28x2) + -4y * (4x + 3y)) = 0
((21xy + 28x2) + -4y * (4x + 3y)) = 0
(21xy + 28x2 + (4x * -4y + 3y * -4y)) = 0
(21xy + 28x2 + (-16xy + -12y2)) = 0

Reorder the terms:
(21xy + -16xy + 28x2 + -12y2) = 0

Combine like terms: 21xy + -16xy = 5xy
(5xy + 28x2 + -12y2) = 0

Solving
5xy + 28x2 + -12y2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(7x + -4y)' equal to zero and attempt to solve:

Simplifying
7x + -4y = 0

Solving
7x + -4y = 0

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

Add '4y' to each side of the equation.
7x + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
7x + 0 = 0 + 4y
7x = 0 + 4y
Remove the zero:
7x = 4y

Divide each side by '7'.
x = 0.5714285714y

Simplifying
x = 0.5714285714y

Subproblem 2
Set the factor '(4x + 3y)' equal to zero and attempt to solve:

Simplifying
4x + 3y = 0

Solving
4x + 3y = 0

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

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

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

Divide each side by '4'.
x = -0.75y

Simplifying
x = -0.75y
Solution
x = {0.5714285714y, -0.75y}

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