(10x+2y)(4x-11y)=

Simple and best practice solution for (10x+2y)(4x-11y)= 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 (10x+2y)(4x-11y)= equation: 


Simplifying
(10x + 2y)(4x + -11y) = 0

Multiply (10x + 2y) * (4x + -11y)
(10x * (4x + -11y) + 2y * (4x + -11y)) = 0
((4x * 10x + -11y * 10x) + 2y * (4x + -11y)) = 0

Reorder the terms:
((-110xy + 40x2) + 2y * (4x + -11y)) = 0
((-110xy + 40x2) + 2y * (4x + -11y)) = 0
(-110xy + 40x2 + (4x * 2y + -11y * 2y)) = 0
(-110xy + 40x2 + (8xy + -22y2)) = 0

Reorder the terms:
(-110xy + 8xy + 40x2 + -22y2) = 0

Combine like terms: -110xy + 8xy = -102xy
(-102xy + 40x2 + -22y2) = 0

Solving
-102xy + 40x2 + -22y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-51xy + 20x2 + -11y2) = 0

Factor a trinomial.
2((4x + -11y)(5x + y)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4x + -11y)' equal to zero and attempt to solve:

Simplifying
4x + -11y = 0

Solving
4x + -11y = 0

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

Add '11y' to each side of the equation.
4x + -11y + 11y = 0 + 11y

Combine like terms: -11y + 11y = 0
4x + 0 = 0 + 11y
4x = 0 + 11y
Remove the zero:
4x = 11y

Divide each side by '4'.
x = 2.75y

Simplifying
x = 2.75y

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 = {2.75y, -0.2y}

See similar equations:

| -2(5x+12)-5=6(3X-2)-10 | | t/9=-28 | | 13x+1=-13+27 | | (63x+50y)-(19x-17y)= | | (2-z)(4z+5)=0 | | -10+(-2)=-6x | | 2(w-13)=12 | | 3(j-20)=-3 | | 15x-17=3+10x | | 1-3n=16-6n | | 15x^2y+8xy^2+y^3=0 | | (6p+7q)(-2p+10q)= | | 8n^2-18N-5=0 | | 3(C-D)D= | | p^2-15p+50=0 | | (4u+9)(1-u)=0 | | 7/8a-5/3a | | 8n-(5n+4)=17 | | x^1/2=13 | | (4u+9)(1-0)=0 | | 5y-3y+7=4y+7-2y | | 6y+2y=26 | | -3(4b-10)=12(24+60) | | sqrt(x)=13 | | 3(x+2)+2(x+4)=-1 | | 2(3+2x)+3(x-4)=8 | | 9(7x-3)=1+2x | | 2x^2+17x+10=0 | | -12=-12a | | 25x+15=24x+10 | | 2x+1/x-4=6 | | -q/5=30 |

Equations solver categories