(4y+2)(7+y)=0

Simple and best practice solution for (4y+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 (4y+2)(7+y)=0 equation: 


Simplifying
(4y + 2)(7 + y) = 0

Reorder the terms:
(2 + 4y)(7 + y) = 0

Multiply (2 + 4y) * (7 + y)
(2(7 + y) + 4y * (7 + y)) = 0
((7 * 2 + y * 2) + 4y * (7 + y)) = 0
((14 + 2y) + 4y * (7 + y)) = 0
(14 + 2y + (7 * 4y + y * 4y)) = 0
(14 + 2y + (28y + 4y2)) = 0

Combine like terms: 2y + 28y = 30y
(14 + 30y + 4y2) = 0

Solving
14 + 30y + 4y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + 15y + 2y2) = 0

Factor a trinomial.
2((7 + y)(1 + 2y)) = 0

Ignore the factor 2.

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 '(1 + 2y)' equal to zero and attempt to solve:

Simplifying
1 + 2y = 0

Solving
1 + 2y = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2y = 0 + -1
2y = 0 + -1

Combine like terms: 0 + -1 = -1
2y = -1

Divide each side by '2'.
y = -0.5

Simplifying
y = -0.5
Solution
y = {-7, -0.5}

See similar equations:

| -4x+5=x-10 | | 3-6(8-4)= | | -x^2+-13x-40=0 | | (x2-24x2)3/4 | | 3(-8)+5y=-59 | | x^2-13x+-40=0 | | 1/t+1/3t=1/2 | | 4(15)-3y=51 | | 2w^2+11w+23-2w^2-10w-25=0 | | 350+48xvalue=4 | | 2w^2+11w+23-2w^2+10w+25=0 | | 350+48xvalue=0 | | 2w^2+11w+23+2w^2+10w+25=0 | | -7x-19=-159 | | (3x+9)(3x-9)= | | 2w^2+11w+23-2w+10w+25=0 | | y-3x= | | 2(13)-5y=-14 | | 2w^2+11w+23+2w+10w+25=0 | | -2/13=x+7/13 | | 3x-7-3x= | | 2y+3(4y+5)=-6 | | -1/2+1/9-11/4 | | (4x2-5)1/2 | | 12/34 | | 9y^2+25-30y=0 | | y=2x^2-12x | | -8w-5-3w^2=0 | | 0.2886=mx+b | | 2x+4.8=8.4 | | -8y-3-4y^2=0 | | 8y+3-4y^2=0 |

Equations solver categories