(7x+4y)(5x-10y)=

Simple and best practice solution for (7x+4y)(5x-10y)= 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 (7x+4y)(5x-10y)= equation: 


Simplifying
(7x + 4y)(5x + -10y) = 0

Multiply (7x + 4y) * (5x + -10y)
(7x * (5x + -10y) + 4y * (5x + -10y)) = 0
((5x * 7x + -10y * 7x) + 4y * (5x + -10y)) = 0

Reorder the terms:
((-70xy + 35x2) + 4y * (5x + -10y)) = 0
((-70xy + 35x2) + 4y * (5x + -10y)) = 0
(-70xy + 35x2 + (5x * 4y + -10y * 4y)) = 0
(-70xy + 35x2 + (20xy + -40y2)) = 0

Reorder the terms:
(-70xy + 20xy + 35x2 + -40y2) = 0

Combine like terms: -70xy + 20xy = -50xy
(-50xy + 35x2 + -40y2) = 0

Solving
-50xy + 35x2 + -40y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-10xy + 7x2 + -8y2) = 0

Factor a trinomial.
5((x + -2y)(7x + 4y)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(x + -2y)' equal to zero and attempt to solve:

Simplifying
x + -2y = 0

Solving
x + -2y = 0

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

Add '2y' to each side of the equation.
x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
x + 0 = 0 + 2y
x = 0 + 2y
Remove the zero:
x = 2y

Simplifying
x = 2y

Subproblem 2
Set the factor '(7x + 4y)' equal to zero and attempt to solve:

Simplifying
7x + 4y = 0

Solving
7x + 4y = 0

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

Add '-4y' to each side of the equation.
7x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
7x + 0 = 0 + -4y
7x = 0 + -4y
Remove the zero:
7x = -4y

Divide each side by '7'.
x = -0.5714285714y

Simplifying
x = -0.5714285714y
Solution
x = {2y, -0.5714285714y}

See similar equations:

| 2x+135+y=180 | | 184=1.2(16)h | | 64=1.2(8)h | | (x+11y)(4x+6y)= | | x+(x/1.2)=106 | | 6ab^7(-6ab^4+11b^2)= | | 275=50/x | | (8xy^5)(-4x^2y^3)= | | 0=9x+7 | | 664=p(0.05)(2) | | 28.14=w+0.4(w) | | ln(4x-9)=3 | | 6x+9(4x+27000)= | | 2347=r-1504 | | 2347=r-1505 | | 0=-5x^2+3x+7 | | 18x^2-18x-8= | | x+(x/1.2)=640 | | -7/11+t=-10/3 | | (1-(7/x))/(1+(7/x)) | | 5/2x+1/2x=2x10/27/2x | | 2a^2+2a-15=0 | | ((3x)/(x^2-5x+6))-((24)/(x^2-6x+8)) | | 2.0+4y=13 | | 9a^3+6a^2+6a+4= | | 6k^3-10k^2+9k-15= | | 2x+4y=13 | | 14(2x+4)=-7(6x+4) | | 7-2a/1.2=4.5 | | -8/9=b/27 | | (-8x^4y)(-8x^3y^6)= | | 7b^2-34b-5=0 |

Equations solver categories