(3x+7y)(-7x-y)=

Simple and best practice solution for (3x+7y)(-7x-y)= 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 (3x+7y)(-7x-y)= equation: 


Simplifying
(3x + 7y)(-7x + -1y) = 0

Multiply (3x + 7y) * (-7x + -1y)
(3x * (-7x + -1y) + 7y * (-7x + -1y)) = 0
((-7x * 3x + -1y * 3x) + 7y * (-7x + -1y)) = 0

Reorder the terms:
((-3xy + -21x2) + 7y * (-7x + -1y)) = 0
((-3xy + -21x2) + 7y * (-7x + -1y)) = 0
(-3xy + -21x2 + (-7x * 7y + -1y * 7y)) = 0
(-3xy + -21x2 + (-49xy + -7y2)) = 0

Reorder the terms:
(-3xy + -49xy + -21x2 + -7y2) = 0

Combine like terms: -3xy + -49xy = -52xy
(-52xy + -21x2 + -7y2) = 0

Solving
-52xy + -21x2 + -7y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(52xy + 21x2 + 7y2) = 0

Factor a trinomial.
-1((7x + y)(3x + 7y)) = 0

Ignore the factor -1.

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

Simplifying
7x + y = 0

Solving
7x + y = 0

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

Add '-1y' to each side of the equation.
7x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
7x + 0 = 0 + -1y
7x = 0 + -1y
Remove the zero:
7x = -1y

Divide each side by '7'.
x = -0.1428571429y

Simplifying
x = -0.1428571429y

Subproblem 2
Set the factor '(3x + 7y)' equal to zero and attempt to solve:

Simplifying
3x + 7y = 0

Solving
3x + 7y = 0

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

Add '-7y' to each side of the equation.
3x + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
3x + 0 = 0 + -7y
3x = 0 + -7y
Remove the zero:
3x = -7y

Divide each side by '3'.
x = -2.333333333y

Simplifying
x = -2.333333333y
Solution
x = {-0.1428571429y, -2.333333333y}

See similar equations:

| 5x+15-2x=x+45 | | y=5x/x | | 7/3x=6/5 | | F(x)=25x+13 | | 3(7x-4y)= | | (27-3x)=10 | | 3u+15=51 | | 15x+10=5(2+3x) | | 54/78 | | 2x^4+2x^3-20x^2=0 | | 3x+17+x-9= | | (3m^2+3m+8)(8m-4)= | | 4r/7=16 | | 27=p(0.015)(2) | | -2n-10n+3=-n+58 | | -24=-5x-3x | | (4x+5)(7x+1)= | | 4(k+3)+5k=74 | | 73+13+x=180 | | 4q+q-3q+2q-3q=9 | | 7(3k-7)= | | 13+73+x=180 | | X-(-6)=7 | | 0.3(x+50)-0.07(x-10)=4.2 | | x/6-8=4 | | A=2pi(r)(r+h)fort | | 2(4x+1)+(5x-4)=180 | | 2/3t-3=3 | | .10X+X=162 | | 3=12-5y | | log(4)x=-1 | | 6/7z3/7 |

Equations solver categories