(3y+2)(7+y)=0

Simple and best practice solution for (3y+2)(7+y)=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 (3y+2)(7+y)=0 equation: 


Simplifying
(3y + 2)(7 + y) = 0

Reorder the terms:
(2 + 3y)(7 + y) = 0

Multiply (2 + 3y) * (7 + y)
(2(7 + y) + 3y * (7 + y)) = 0
((7 * 2 + y * 2) + 3y * (7 + y)) = 0
((14 + 2y) + 3y * (7 + y)) = 0
(14 + 2y + (7 * 3y + y * 3y)) = 0
(14 + 2y + (21y + 3y2)) = 0

Combine like terms: 2y + 21y = 23y
(14 + 23y + 3y2) = 0

Solving
14 + 23y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + y)(2 + 3y) = 0


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

Simplifying
7 + y = 0

Solving
7 + y = 0

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

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

Combine like terms: 7 + -7 = 0
0 + y = 0 + -7
y = 0 + -7

Combine like terms: 0 + -7 = -7
y = -7

Simplifying
y = -7

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

Simplifying
2 + 3y = 0

Solving
2 + 3y = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3y = 0 + -2
3y = 0 + -2

Combine like terms: 0 + -2 = -2
3y = -2

Divide each side by '3'.
y = -0.6666666667

Simplifying
y = -0.6666666667
Solution
y = {-7, -0.6666666667}

See similar equations:

| 4z-2=z+16 | | -2a^2+20a-4a-44=0 | | y=6+2 | | -2a^2+36a-4a-44=0 | | -3a^2+36a-6a-72=0 | | 7-9x=25-23x | | 8.7x+76.92=-11.3x+76.66 | | x^3+216= | | 6.4x-3.4=22.2 | | 3(6z-1)-5(z+5)=5(z+1) | | -7(t-6)-(t+9)=3 | | 2x+8=84 | | 3+7(x-7)=6-4(x-5) | | -2(5n+6)=6 | | 11y-4=44-y | | 0.6x=8 | | (2x+1)(x)(x+3)-440=0 | | 4y+7-3(2y+3)=4(3y-4)-7y+7 | | 24x^3+32x^2=0 | | x/5=-26+16 | | -4x+17=9 | | -3x-3x=50-20 | | 3x-1=2x+16 | | -2x+13=9table | | -2x+13=9 | | 2(x-3)+3x=6(x-2) | | 5a+4a(3a+-8)=4+13a | | x^2+15x+26= | | 36x^4-16=0 | | 3-2(x-2)=3(x+2) | | (x-7)+(3-x)=2 | | 12-3(x+2)=5x+1 |

Equations solver categories