7x(7x+3y)(3x+9y)=0

Simple and best practice solution for 7x(7x+3y)(3x+9y)=0 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(7x+3y)(3x+9y)=0 equation: 


Simplifying
7x(7x + 3y)(3x + 9y) = 0

Multiply (7x + 3y) * (3x + 9y)
7x(7x * (3x + 9y) + 3y * (3x + 9y)) = 0
7x((3x * 7x + 9y * 7x) + 3y * (3x + 9y)) = 0

Reorder the terms:
7x((63xy + 21x2) + 3y * (3x + 9y)) = 0
7x((63xy + 21x2) + 3y * (3x + 9y)) = 0
7x(63xy + 21x2 + (3x * 3y + 9y * 3y)) = 0
7x(63xy + 21x2 + (9xy + 27y2)) = 0

Reorder the terms:
7x(63xy + 9xy + 21x2 + 27y2) = 0

Combine like terms: 63xy + 9xy = 72xy
7x(72xy + 21x2 + 27y2) = 0
(72xy * 7x + 21x2 * 7x + 27y2 * 7x) = 0

Reorder the terms:
(189xy2 + 504x2y + 147x3) = 0
(189xy2 + 504x2y + 147x3) = 0

Solving
189xy2 + 504x2y + 147x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '21x'.
21x(9y2 + 24xy + 7x2) = 0

Factor a trinomial.
21x((3y + x)(3y + 7x)) = 0

Ignore the factor 21.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
3y + x = 0

Reorder the terms:
x + 3y = 0

Solving
x + 3y = 0

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

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

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

Simplifying
x = -3y

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

Simplifying
3y + 7x = 0

Reorder the terms:
7x + 3y = 0

Solving
7x + 3y = 0

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

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

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

Divide each side by '7'.
x = -0.4285714286y

Simplifying
x = -0.4285714286y
Solution
x = {0, -3y, -0.4285714286y}

See similar equations:

| 3(n+3)=n+17 | | 4x^5-8x^4-4x+8=0 | | x(x-5)(x-7)=0 | | 60+76+x=180 | | 2-3(x+5)=10 | | -x-y=x-y | | 4(a-7)+16=2(a-4) | | -16y-4y=-3 | | 8x+4=3(x-1)17 | | x(x-1)(x-2)+(x-1)(x-2)(x-3)= | | x(x-1)(x-2)= | | x^3+6x^2+15x+10=0 | | x^3-6x^2+9x+2= | | W=2x+7n | | W=2x-7n | | 5k^2-7k-13=0 | | 4x+12=x-3 | | x+8+x+(x+8)*3=68 | | 4p=72 | | lnx^2=13 | | B+6=50 | | 0.6x-0.6(5-x)=2.4 | | a*x=b | | 7x+2-6x=4 | | 13-2x=-4x+17 | | X(2)+3=71 | | z-m=bx | | 13.(2x-3)=5(-3+6x)+5(2-x) | | X(2)+3=73 | | 5-3x=-6x+5 | | 5x+y=-2 | | 2x^3+3x^2+3x-1=0 |

Equations solver categories