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

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


Simplifying
(2x + -4y)(3x + -1y) = 0
Multiply (2x + -4y) * (3x + -1y)
(2x * (3x + -1y) + -4y * (3x + -1y)) = 0
((3x * 2x + -1y * 2x) + -4y * (3x + -1y)) = 0
Reorder the terms:
((-2xy + 6x2) + -4y * (3x + -1y)) = 0
((-2xy + 6x2) + -4y * (3x + -1y)) = 0
(-2xy + 6x2 + (3x * -4y + -1y * -4y)) = 0
(-2xy + 6x2 + (-12xy + 4y2)) = 0
Reorder the terms:
(-2xy + -12xy + 6x2 + 4y2) = 0
Combine like terms: -2xy + -12xy = -14xy
(-14xy + 6x2 + 4y2) = 0
Solving
-14xy + 6x2 + 4y2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '2'.
2(-7xy + 3x2 + 2y2) = 0
Factor a trinomial.
2((x + -2y)(3x + -1y)) = 0
Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(3x + -1y)' equal to zero and attempt to solve: Simplifying 3x + -1y = 0 Solving 3x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 3x + -1y + y = 0 + y Combine like terms: -1y + y = 0 3x + 0 = 0 + y 3x = 0 + y Remove the zero: 3x = y Divide each side by '3'. x = 0.3333333333y Simplifying x = 0.3333333333y

Solution

x = {2y, 0.3333333333y}

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