(5x+y)*(3x-2y)=

Simple and best practice solution for (5x+y)*(3x-2y)= equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (5x+y)*(3x-2y)= equation: 


Simplifying
(5x + y)(3x + -2y) = 0

Multiply (5x + y) * (3x + -2y)
(5x * (3x + -2y) + y(3x + -2y)) = 0
((3x * 5x + -2y * 5x) + y(3x + -2y)) = 0

Reorder the terms:
((-10xy + 15x2) + y(3x + -2y)) = 0
((-10xy + 15x2) + y(3x + -2y)) = 0
(-10xy + 15x2 + (3x * y + -2y * y)) = 0
(-10xy + 15x2 + (3xy + -2y2)) = 0

Reorder the terms:
(-10xy + 3xy + 15x2 + -2y2) = 0

Combine like terms: -10xy + 3xy = -7xy
(-7xy + 15x2 + -2y2) = 0

Solving
-7xy + 15x2 + -2y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x + -2y)(5x + y) = 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 '(5x + y)' equal to zero and attempt to solve:

Simplifying
5x + y = 0

Solving
5x + y = 0

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

Add '-1y' to each side of the equation.
5x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
5x + 0 = 0 + -1y
5x = 0 + -1y
Remove the zero:
5x = -1y

Divide each side by '5'.
x = -0.2y

Simplifying
x = -0.2y
Solution
x = {0.6666666667y, -0.2y}

See similar equations:

| -4-8y=24 | | 9y-18=30-3y | | 264=8(1-8x) | | -6x-4=56 | | .3X=.25X+17.78 | | 9n^2-9n-21=0 | | b+b=116 | | f(x)=x^5-4x^3+5x+2 | | 85=-6z+7+4x | | -2-2n+6=0 | | 12=3x+4(-9) | | kx^2+(3k-1)x-4=0 | | 9(6z-8)=29+7z | | 10x-4x+124=10x+56 | | 8x-4y=10-2x+6y | | 1-9r+9r=5 | | -3(-4+3)=39 | | k^2+4k-2=3 | | x^2-10.59x-40.7=0 | | lhw=w | | 8x-4y=10-2x+6ys | | -8k=112 | | X=-2x^2-x+3 | | b^2+4b-102=-6 | | -80+-384+-8= | | -8k=121 | | (a+4)-b=1.6 | | -8k=122 | | -2(3x-1)=-6x-2 | | -15=3(-8+a) | | 11(x+12)=168+5x | | 7x+6x-19=76-6x |

Equations solver categories