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

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


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

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

Reorder the terms:
((-6xy + 2x2) + y(x + -3y)) = 0
((-6xy + 2x2) + y(x + -3y)) = 0
(-6xy + 2x2 + (x * y + -3y * y)) = 0
(-6xy + 2x2 + (xy + -3y2)) = 0

Reorder the terms:
(-6xy + xy + 2x2 + -3y2) = 0

Combine like terms: -6xy + xy = -5xy
(-5xy + 2x2 + -3y2) = 0

Solving
-5xy + 2x2 + -3y2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(2x + y)' equal to zero and attempt to solve: Simplifying 2x + y = 0 Solving 2x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 2x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 2x + 0 = 0 + -1y 2x = 0 + -1y Remove the zero: 2x = -1y Divide each side by '2'. x = -0.5y Simplifying x = -0.5y

Solution

x = {3y, -0.5y}

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