(8x+2y)(5x-4y)=

Simple and best practice solution for (8x+2y)(5x-4y)= 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 (8x+2y)(5x-4y)= equation: 


Simplifying
(8x + 2y)(5x + -4y) = 0

Multiply (8x + 2y) * (5x + -4y)
(8x * (5x + -4y) + 2y * (5x + -4y)) = 0
((5x * 8x + -4y * 8x) + 2y * (5x + -4y)) = 0

Reorder the terms:
((-32xy + 40x2) + 2y * (5x + -4y)) = 0
((-32xy + 40x2) + 2y * (5x + -4y)) = 0
(-32xy + 40x2 + (5x * 2y + -4y * 2y)) = 0
(-32xy + 40x2 + (10xy + -8y2)) = 0

Reorder the terms:
(-32xy + 10xy + 40x2 + -8y2) = 0

Combine like terms: -32xy + 10xy = -22xy
(-22xy + 40x2 + -8y2) = 0

Solving
-22xy + 40x2 + -8y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-11xy + 20x2 + -4y2) = 0

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

Ignore the factor 2.

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

Simplifying
5x + -4y = 0

Solving
5x + -4y = 0

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

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

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

Divide each side by '5'.
x = 0.8y

Simplifying
x = 0.8y

Subproblem 2
Set the factor '(4x + y)' equal to zero and attempt to solve:

Simplifying
4x + y = 0

Solving
4x + y = 0

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

Add '-1y' to each side of the equation.
4x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
4x + 0 = 0 + -1y
4x = 0 + -1y
Remove the zero:
4x = -1y

Divide each side by '4'.
x = -0.25y

Simplifying
x = -0.25y
Solution
x = {0.8y, -0.25y}

See similar equations:

| -20+x=-2x+43 | | .33q=q | | Log(8x+4)=1+log(x+1) | | 5(sat+s)=14a-29 | | x-3=-x-5 | | 7+n=12-3 | | -y-8-y=0 | | 520x+1104=3029+345x | | 2(-2x-3)=4x-6 | | Log(8x+4)=log(x+1) | | 9x^2=30x-17 | | (5p^2-3)=(2p^2-3p^3) | | 520x+1104=3029+345 | | -9=-9-8n | | 3q+8=4q | | x=3(2x-8)-5 | | b+20=3b | | 8=x^2-12 | | 8(4+-a)=2a | | 22x-6-17x+3=16x-7-11x+11 | | (7t+5)(7t-5)= | | 2v-2w+5+7w= | | 3c-17=5c-11 | | -x+8y=21 | | 10=w-19 | | 7a^2-a^2+16= | | 4(3-3x)-8x=8-2(5x+8) | | 10=w-9 | | 6-5(3x-5)=16 | | 3(2k+3)-11k=14 | | 3v-7-5=21 | | 0.6(n-6)=5n-43 |

Equations solver categories