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

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


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

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

Multiply (-7 + 5y) * (2 + y)
(-7(2 + y) + 5y * (2 + y)) = 0
((2 * -7 + y * -7) + 5y * (2 + y)) = 0
((-14 + -7y) + 5y * (2 + y)) = 0
(-14 + -7y + (2 * 5y + y * 5y)) = 0
(-14 + -7y + (10y + 5y2)) = 0

Combine like terms: -7y + 10y = 3y
(-14 + 3y + 5y2) = 0

Solving
-14 + 3y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-2 + -1y)(7 + -5y) = 0


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

Simplifying
-2 + -1y = 0

Solving
-2 + -1y = 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 + -1y = 0 + 2

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

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

Divide each side by '-1'.
y = -2

Simplifying
y = -2

Subproblem 2
Set the factor '(7 + -5y)' equal to zero and attempt to solve:

Simplifying
7 + -5y = 0

Solving
7 + -5y = 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 + -5y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5y = 0 + -7
-5y = 0 + -7

Combine like terms: 0 + -7 = -7
-5y = -7

Divide each side by '-5'.
y = 1.4

Simplifying
y = 1.4
Solution
y = {-2, 1.4}

See similar equations:

| 2(3a+5)+4a=4(a+3)+2(a+1) | | 1/4=x | | 28+2t=5t-2 | | (11x+2y)+(49x+28y)= | | 200.5-20.5=10 | | -14-28=-10b+30 | | 4m-18=2m-7 | | 200.5-20.5=36.5 | | 6(x-9)=8(x-8) | | y=6x(9)-6x-8 | | 6x+4(x-7)=60 | | 10=6t-3-20t-15 | | (5n-3)-(6-8n)=5(3-n) | | 4a+2(a-3)=2a-5 | | X+4x+6=32 | | -15x-216=120+x | | y=-6x(3)-8 | | 3n+12=n+8 | | -4b-28=30 | | 2(m-3)+5=3(m-1) | | 15+n=-6 | | 3(4a-6)=2(4a-3)-(a-8) | | Log(9x)-log(2x-5)=log(8) | | 2+s=8 | | 8t-3=9-8-b | | L+s=3l | | 7n+11=-31 | | 9x^4-10x^3=0 | | 12-4=2r+6 | | 9a-(3a-8)=3(7a-2) | | 2h=h+25 | | x+3x=124 |

Equations solver categories