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

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


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

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

Multiply (-7 + 2y) * (4 + y)
(-7(4 + y) + 2y * (4 + y)) = 0
((4 * -7 + y * -7) + 2y * (4 + y)) = 0
((-28 + -7y) + 2y * (4 + y)) = 0
(-28 + -7y + (4 * 2y + y * 2y)) = 0
(-28 + -7y + (8y + 2y2)) = 0

Combine like terms: -7y + 8y = 1y
(-28 + 1y + 2y2) = 0

Solving
-28 + 1y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-4 + -1y)(7 + -2y) = 0


Subproblem 1
Set the factor '(-4 + -1y)' equal to zero and attempt to solve:

Simplifying
-4 + -1y = 0

Solving
-4 + -1y = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1y = 0 + 4
-1y = 0 + 4

Combine like terms: 0 + 4 = 4
-1y = 4

Divide each side by '-1'.
y = -4

Simplifying
y = -4

Subproblem 2
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
Solution
y = {-4, 3.5}

See similar equations:

| 36a^2+6ax=0 | | 2cosx+tanx=secx | | 3(x+5)=2(x-7) | | 14x(-10)= | | 5(2x)=1/25 | | 12x+72=4(x-6) | | -z-17=-6z+3 | | -14/10= | | 9(-3k)=3(4) | | 8(x+1)-5=6x+2(3+x) | | 8b+12b=10 | | 8+2(s-4t)=to | | -10+14=4 | | 3(3x)=1 | | 8g+15=7g | | 1/2+5.x/8=87/x-(x+7.4.x) | | (7x-6)-2=4 | | 4=-2/7k-14 | | 9x+45=-3x+117 | | x^4-6.25x^2+9=0 | | 4(-a)=4(2)-(2a) | | y/4-7=15 | | 20/2x(5x5) | | 6+2=t | | 6t-4=f | | (3x+1)(4x-5)=0 | | 4-1.5x=.3x+2 | | 4x+3(3x-9)= | | -3.2k=-32 | | 3x+1y=15 | | –24-1/8p=3/8p | | 3c+15=-12 |

Equations solver categories