(2x+y)(4x-5y)=

Simple and best practice solution for (2x+y)(4x-5y)= 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 (2x+y)(4x-5y)= equation: 


Simplifying
(2x + y)(4x + -5y) = 0

Multiply (2x + y) * (4x + -5y)
(2x * (4x + -5y) + y(4x + -5y)) = 0
((4x * 2x + -5y * 2x) + y(4x + -5y)) = 0

Reorder the terms:
((-10xy + 8x2) + y(4x + -5y)) = 0
((-10xy + 8x2) + y(4x + -5y)) = 0
(-10xy + 8x2 + (4x * y + -5y * y)) = 0
(-10xy + 8x2 + (4xy + -5y2)) = 0

Reorder the terms:
(-10xy + 4xy + 8x2 + -5y2) = 0

Combine like terms: -10xy + 4xy = -6xy
(-6xy + 8x2 + -5y2) = 0

Solving
-6xy + 8x2 + -5y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x + -5y)(2x + y) = 0


Subproblem 1
Set the factor '(4x + -5y)' equal to zero and attempt to solve:

Simplifying
4x + -5y = 0

Solving
4x + -5y = 0

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

Add '5y' to each side of the equation.
4x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
4x + 0 = 0 + 5y
4x = 0 + 5y
Remove the zero:
4x = 5y

Divide each side by '4'.
x = 1.25y

Simplifying
x = 1.25y

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 = {1.25y, -0.5y}

See similar equations:

| -1.2+1.8= | | -2x=3x+33 | | 3(2x+4)=6(x-3) | | 48-y=50 | | X(2x-5)=(2x+4)(x-9) | | .66(3x+2)=1x | | 5m=10m-10 | | 12=-x-8 | | -1.6-0.5= | | -2p-6(p-7)=30-6p | | 2(5+5x)=9(x-3) | | 14+23-65= | | 1.1-(-1.6)= | | 2b=4b+24 | | (4n+11)=2(4n+11) | | 3x^3+4=79 | | 7x^2y+14xy+3x+6= | | 375x-x^2=31250 | | 0.2+(-1.7)= | | 2y+4=3(2x-6)forx | | 2ab+5a+5ab-2= | | q^2+7q=0 | | 6m+9m+5form=-1 | | 2(2y+5)=4y-18 | | 12x-4(3x-6)=24 | | 10a=3a-30 | | 55=5n+10 | | 4t+r=62250 | | x=2(3-4y)-7 | | -0.5-1.8= | | 13-2(3-2a)=5(2+2a)-9a | | g^2+8g=0 |

Equations solver categories