(2x+y)(7x-8y)=

Simple and best practice solution for (2x+y)(7x-8y)= 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)(7x-8y)= equation: 


Simplifying
(2x + y)(7x + -8y) = 0

Multiply (2x + y) * (7x + -8y)
(2x * (7x + -8y) + y(7x + -8y)) = 0
((7x * 2x + -8y * 2x) + y(7x + -8y)) = 0

Reorder the terms:
((-16xy + 14x2) + y(7x + -8y)) = 0
((-16xy + 14x2) + y(7x + -8y)) = 0
(-16xy + 14x2 + (7x * y + -8y * y)) = 0
(-16xy + 14x2 + (7xy + -8y2)) = 0

Reorder the terms:
(-16xy + 7xy + 14x2 + -8y2) = 0

Combine like terms: -16xy + 7xy = -9xy
(-9xy + 14x2 + -8y2) = 0

Solving
-9xy + 14x2 + -8y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + -8y)(2x + y) = 0


Subproblem 1
Set the factor '(7x + -8y)' equal to zero and attempt to solve:

Simplifying
7x + -8y = 0

Solving
7x + -8y = 0

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

Add '8y' to each side of the equation.
7x + -8y + 8y = 0 + 8y

Combine like terms: -8y + 8y = 0
7x + 0 = 0 + 8y
7x = 0 + 8y
Remove the zero:
7x = 8y

Divide each side by '7'.
x = 1.142857143y

Simplifying
x = 1.142857143y

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 = {1.142857143y, -0.5y}

See similar equations:

| 0.7x^2-7x+11.2=0 | | n+37=56 | | 0.2x^2-16x+300=0 | | 1/4e^2+9=0 | | (x+1)+(x+3)=2(x+3)-2 | | 81-m^2=0 | | 110-5x=31x+22 | | 4/3(x+3)=3/2x+2 | | 30w^2-11w=-1 | | x^3+x^2-x=1 | | (8x/5)/(11^2/25) | | 5w^2+29w=6 | | 6w^2+35w=6 | | 0.4x+2=0.3 | | 6w^2-31w=-5 | | 2/9z-3=12 | | 4a^3+8a^2b^2-4a^2-2a^2b= | | z^2+(6+8i)z+(-8+24i)=0 | | 8x^2+40x=-25 | | z^2+(2-2i)z+(-16-2i)=0 | | x^2+20x-4y+100=0 | | y-3=-1/2x | | 174-5x=22x+20 | | x^2+y^2-8y-33=0 | | (2ln(x+6))/(x^(2)) | | 9-10x=7x+24 | | 7n^2=9 | | 5a-14=2a | | (a+b)x^2-(a-b)x-2a=0 | | 10x-3(4+x)=5(9+2x) | | y-(-7)=-4(x-(-5)) | | y-1=-4(x-(-5)) |

Equations solver categories