(5x-y)(8x-3y)=

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Solution for (5x-y)(8x-3y)= equation:


Simplifying
(5x + -1y)(8x + -3y) = 0

Multiply (5x + -1y) * (8x + -3y)
(5x * (8x + -3y) + -1y * (8x + -3y)) = 0
((8x * 5x + -3y * 5x) + -1y * (8x + -3y)) = 0

Reorder the terms:
((-15xy + 40x2) + -1y * (8x + -3y)) = 0
((-15xy + 40x2) + -1y * (8x + -3y)) = 0
(-15xy + 40x2 + (8x * -1y + -3y * -1y)) = 0
(-15xy + 40x2 + (-8xy + 3y2)) = 0

Reorder the terms:
(-15xy + -8xy + 40x2 + 3y2) = 0

Combine like terms: -15xy + -8xy = -23xy
(-23xy + 40x2 + 3y2) = 0

Solving
-23xy + 40x2 + 3y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8x + -3y)(5x + -1y) = 0

Subproblem 1

Set the factor '(8x + -3y)' equal to zero and attempt to solve: Simplifying 8x + -3y = 0 Solving 8x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 8x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 8x + 0 = 0 + 3y 8x = 0 + 3y Remove the zero: 8x = 3y Divide each side by '8'. x = 0.375y Simplifying x = 0.375y

Subproblem 2

Set the factor '(5x + -1y)' equal to zero and attempt to solve: Simplifying 5x + -1y = 0 Solving 5x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 5x + -1y + y = 0 + y Combine like terms: -1y + y = 0 5x + 0 = 0 + y 5x = 0 + y Remove the zero: 5x = y Divide each side by '5'. x = 0.2y Simplifying x = 0.2y

Solution

x = {0.375y, 0.2y}

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