(2y+5)(7+y)=0

Simple and best practice solution for (2y+5)(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 (2y+5)(7+y)=0 equation: 


Simplifying
(2y + 5)(7 + y) = 0

Reorder the terms:
(5 + 2y)(7 + y) = 0

Multiply (5 + 2y) * (7 + y)
(5(7 + y) + 2y * (7 + y)) = 0
((7 * 5 + y * 5) + 2y * (7 + y)) = 0
((35 + 5y) + 2y * (7 + y)) = 0
(35 + 5y + (7 * 2y + y * 2y)) = 0
(35 + 5y + (14y + 2y2)) = 0

Combine like terms: 5y + 14y = 19y
(35 + 19y + 2y2) = 0

Solving
35 + 19y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + y)(5 + 2y) = 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 '(5 + 2y)' equal to zero and attempt to solve:

Simplifying
5 + 2y = 0

Solving
5 + 2y = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2y = 0 + -5
2y = 0 + -5

Combine like terms: 0 + -5 = -5
2y = -5

Divide each side by '2'.
y = -2.5

Simplifying
y = -2.5
Solution
y = {-7, -2.5}

See similar equations:

| 32000+600x=45000-1000x | | 81v^2-100=0 | | 8x+5(-4x)=24 | | 11x-5-x+6=2x+17 | | 7(2x-4)+x+9=26 | | 4x-9y-8x+6y= | | -3.2+2.5= | | 3x+5=10x+7 | | J+4j=10 | | log(x^2+5x-50)=2 | | 2v-10=3v | | 4x+15+6x+29=8(x+13) | | 75x+82=180 | | -2.5+1.6= | | 1/8p-4=3 | | 4(2y+5)=6y-3 | | 5x^2+4x=27 | | 4(x-3)+2(x+5)=34 | | 289=81+x | | -8-5q-2q=-5q+8 | | 7h+5=63 | | 4(x-7)=9(x+3) | | 5x-7(-x+2)=58 | | 13x-(4x-8)=89 | | 5b-8b=-10-14 | | 4(x-3)+2(x-5)=34 | | -20=5(4-x) | | 4x+6+6x=16 | | 18x-(9x-4)=13 | | 20-x=x-2 | | 18x-(9x-6x)=13 | | 8(x-2)=6x+28 |

Equations solver categories