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

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


Simplifying
(3x + -2y)(4x + -1y) = 0

Multiply (3x + -2y) * (4x + -1y)
(3x * (4x + -1y) + -2y * (4x + -1y)) = 0
((4x * 3x + -1y * 3x) + -2y * (4x + -1y)) = 0

Reorder the terms:
((-3xy + 12x2) + -2y * (4x + -1y)) = 0
((-3xy + 12x2) + -2y * (4x + -1y)) = 0
(-3xy + 12x2 + (4x * -2y + -1y * -2y)) = 0
(-3xy + 12x2 + (-8xy + 2y2)) = 0

Reorder the terms:
(-3xy + -8xy + 12x2 + 2y2) = 0

Combine like terms: -3xy + -8xy = -11xy
(-11xy + 12x2 + 2y2) = 0

Solving
-11xy + 12x2 + 2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + -2y)(4x + -1y) = 0

Subproblem 1

Set the factor '(3x + -2y)' equal to zero and attempt to solve: Simplifying 3x + -2y = 0 Solving 3x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 3x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 3x + 0 = 0 + 2y 3x = 0 + 2y Remove the zero: 3x = 2y Divide each side by '3'. x = 0.6666666667y Simplifying x = 0.6666666667y

Subproblem 2

Set the factor '(4x + -1y)' equal to zero and attempt to solve: Simplifying 4x + -1y = 0 Solving 4x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 4x + -1y + y = 0 + y Combine like terms: -1y + y = 0 4x + 0 = 0 + y 4x = 0 + y Remove the zero: 4x = y Divide each side by '4'. x = 0.25y Simplifying x = 0.25y

Solution

x = {0.6666666667y, 0.25y}

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