(y-8)(y+7)=0

Simple and best practice solution for (y-8)(y+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 (y-8)(y+7)=0 equation: 


Simplifying
(y + -8)(y + 7) = 0

Reorder the terms:
(-8 + y)(y + 7) = 0

Reorder the terms:
(-8 + y)(7 + y) = 0

Multiply (-8 + y) * (7 + y)
(-8(7 + y) + y(7 + y)) = 0
((7 * -8 + y * -8) + y(7 + y)) = 0
((-56 + -8y) + y(7 + y)) = 0
(-56 + -8y + (7 * y + y * y)) = 0
(-56 + -8y + (7y + y2)) = 0

Combine like terms: -8y + 7y = -1y
(-56 + -1y + y2) = 0

Solving
-56 + -1y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -1y)(8 + -1y) = 0


Subproblem 1
Set the factor '(-7 + -1y)' equal to zero and attempt to solve:

Simplifying
-7 + -1y = 0

Solving
-7 + -1y = 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 + -1y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1y = 0 + 7
-1y = 0 + 7

Combine like terms: 0 + 7 = 7
-1y = 7

Divide each side by '-1'.
y = -7

Simplifying
y = -7

Subproblem 2
Set the factor '(8 + -1y)' equal to zero and attempt to solve:

Simplifying
8 + -1y = 0

Solving
8 + -1y = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 0 + -8
-1y = 0 + -8

Combine like terms: 0 + -8 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8
Solution
y = {-7, 8}

See similar equations:

| x^2+10x+5600=0 | | 4x+45=101 | | -x+7=31x | | x+6x=300 | | -1lnx=0 | | -42+42= | | 3-x=0.5 | | -3p-2(2-5p)=5(p-6)-16 | | X=50(PI-2) | | 85p=4p^2+100 | | -6(3)= | | x^2-53x+240=0 | | p+0.04p=29.12 | | 5y^2=17y+2 | | 126+(-147)= | | 256-16t^2-32=0 | | 1000=3x+x | | 10x^2-33x-106=0 | | 7n-4(5-2n)=20 | | 4-0.5(x+1)=5.6-0.8x | | Tan(x)=2.08 | | 4x(8x)-5y=252 | | 2b+4x= | | 3(2z-6)=18 | | 4(2x-5)=36 | | -23-(-23)= | | 2(3y+2)=10 | | 4-y=28 | | -x-4y=5 | | 64x-5y=126 | | 4g^2-2g= | | 7+6*5-10= |

Equations solver categories