(4x-7y)(2x-3y)=

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Solution for (4x-7y)(2x-3y)= equation: 


Simplifying
(4x + -7y)(2x + -3y) = 0

Multiply (4x + -7y) * (2x + -3y)
(4x * (2x + -3y) + -7y * (2x + -3y)) = 0
((2x * 4x + -3y * 4x) + -7y * (2x + -3y)) = 0

Reorder the terms:
((-12xy + 8x2) + -7y * (2x + -3y)) = 0
((-12xy + 8x2) + -7y * (2x + -3y)) = 0
(-12xy + 8x2 + (2x * -7y + -3y * -7y)) = 0
(-12xy + 8x2 + (-14xy + 21y2)) = 0

Reorder the terms:
(-12xy + -14xy + 8x2 + 21y2) = 0

Combine like terms: -12xy + -14xy = -26xy
(-26xy + 8x2 + 21y2) = 0

Solving
-26xy + 8x2 + 21y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x + -7y)(2x + -3y) = 0


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

Simplifying
4x + -7y = 0

Solving
4x + -7y = 0

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

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

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

Divide each side by '4'.
x = 1.75y

Simplifying
x = 1.75y

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

Simplifying
2x + -3y = 0

Solving
2x + -3y = 0

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

Add '3y' to each side of the equation.
2x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
2x + 0 = 0 + 3y
2x = 0 + 3y
Remove the zero:
2x = 3y

Divide each side by '2'.
x = 1.5y

Simplifying
x = 1.5y
Solution
x = {1.75y, 1.5y}

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