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

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


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

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

Multiply (7 + 2y) * (2 + y)
(7(2 + y) + 2y * (2 + y)) = 0
((2 * 7 + y * 7) + 2y * (2 + y)) = 0
((14 + 7y) + 2y * (2 + y)) = 0
(14 + 7y + (2 * 2y + y * 2y)) = 0
(14 + 7y + (4y + 2y2)) = 0

Combine like terms: 7y + 4y = 11y
(14 + 11y + 2y2) = 0

Solving
14 + 11y + 2y2 = 0

Solving for variable 'y'.

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


Subproblem 1
Set the factor '(7 + 2y)' equal to zero and attempt to solve:

Simplifying
7 + 2y = 0

Solving
7 + 2y = 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 + 2y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2y = 0 + -7
2y = 0 + -7

Combine like terms: 0 + -7 = -7
2y = -7

Divide each side by '2'.
y = -3.5

Simplifying
y = -3.5

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

Simplifying
2 + y = 0

Solving
2 + y = 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 + y = 0 + -2

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

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

Simplifying
y = -2
Solution
y = {-3.5, -2}

See similar equations:

| 11v-(-3v)+(-19v)=15 | | 70+120= | | 70=120 | | 38-13y=11x | | 3a+1a=4 | | 13.55+17.98=2c+13.55 | | 17q-5q+(-3q)-17q=8 | | 10+3y=4 | | 14-8=x+14 | | f(3)=2x^2-3x+4 | | 3b^2=24in^2 | | 7p=336 | | x+12=12+7 | | 15x+x^2=36 | | 30x^3+51x^2+9x=0 | | (3*x)-6=9 | | x^5+y^5=32 | | 16/x-5=3 | | n-8=40 | | -(c+6.32)=8.11 | | (3x)/6=9 | | c-5=29 | | x^3+y^3=1 | | 3x+18i=1 | | b+6=48 | | -5.12+(-4.31)=-(m+4.31) | | N/4=15/10 | | (6+5)(b+3)= | | (2a+3b)(a-b)= | | 6.4=-4x | | -(x+4.16)=-3-4.16 | | P-15=3(2-P)+P |

Equations solver categories