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

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


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

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

Multiply (2 + y) * (7 + 4y)
(2(7 + 4y) + y(7 + 4y)) = 0
((7 * 2 + 4y * 2) + y(7 + 4y)) = 0
((14 + 8y) + y(7 + 4y)) = 0
(14 + 8y + (7 * y + 4y * y)) = 0
(14 + 8y + (7y + 4y2)) = 0

Combine like terms: 8y + 7y = 15y
(14 + 15y + 4y2) = 0

Solving
14 + 15y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(2 + y)(7 + 4y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + 4y)' equal to zero and attempt to solve:

Simplifying
7 + 4y = 0

Solving
7 + 4y = 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 + 4y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4y = 0 + -7
4y = 0 + -7

Combine like terms: 0 + -7 = -7
4y = -7

Divide each side by '4'.
y = -1.75

Simplifying
y = -1.75
Solution
y = {-2, -1.75}

See similar equations:

| 2r+4=42r+12 | | [2(7.8-5)+0.4]= | | x^2-24=10 | | 4r+6=25r+13 | | a(bx-10)=cx-12 | | 3y+8=5y-14 | | 14g-8=34 | | u^2-d=0 | | 4(3+4x)-5=39 | | (2x-5)=(95) | | x(20-x)=33.0625 | | x(2x+2+4)=18 | | 3x-5+4x+2= | | x^2-30=19 | | 7f-2=-9 | | 11/3=u/7 | | 3(x+10)+6=3x(x+12) | | 0.6-4[-8-(-0.3+7)]= | | -0.7(-.039-6x)=5.1x | | 5x/2-3/4=3 | | 0.64+0.41t=1.23t-0.59 | | B^2+9b= | | -6[0.3-(4+9)]= | | 4.4x+38.6=17.2-6.3x | | 10b=5b-20 | | -2x-5y=-13 | | 0.4-6[-4-(-0.1-1)]= | | y=(7c/3b)-(2ax/3b) | | 3x-5+4x+2+3x=62 | | 4x+12=2x+18 | | 2r^2-5t=1 | | 13/4+4y=8y-1/12 |

Equations solver categories