y^2+16=(y+8)(y+7)

Simple and best practice solution for y^2+16=(y+8)(y+7) 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^2+16=(y+8)(y+7) equation:


Simplifying
y2 + 16 = (y + 8)(y + 7)

Reorder the terms:
16 + y2 = (y + 8)(y + 7)

Reorder the terms:
16 + y2 = (8 + y)(y + 7)

Reorder the terms:
16 + y2 = (8 + y)(7 + y)

Multiply (8 + y) * (7 + y)
16 + y2 = (8(7 + y) + y(7 + y))
16 + y2 = ((7 * 8 + y * 8) + y(7 + y))
16 + y2 = ((56 + 8y) + y(7 + y))
16 + y2 = (56 + 8y + (7 * y + y * y))
16 + y2 = (56 + 8y + (7y + y2))

Combine like terms: 8y + 7y = 15y
16 + y2 = (56 + 15y + y2)

Add '-1y2' to each side of the equation.
16 + y2 + -1y2 = 56 + 15y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
16 + 0 = 56 + 15y + y2 + -1y2
16 = 56 + 15y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
16 = 56 + 15y + 0
16 = 56 + 15y

Solving
16 = 56 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
16 + -15y = 56 + 15y + -15y

Combine like terms: 15y + -15y = 0
16 + -15y = 56 + 0
16 + -15y = 56

Add '-16' to each side of the equation.
16 + -16 + -15y = 56 + -16

Combine like terms: 16 + -16 = 0
0 + -15y = 56 + -16
-15y = 56 + -16

Combine like terms: 56 + -16 = 40
-15y = 40

Divide each side by '-15'.
y = -2.666666667

Simplifying
y = -2.666666667

See similar equations:

| 6x+x+2=12x+4+x | | y/4=12.5 | | 5x^2+28=12 | | 6x+2=12x+4+x | | 4(z+1)+3(3z+6)=36 | | 2t^3-15t^2+36t-20=0 | | 6x+2=12x+4 | | 3-(4x-8)=-12 | | 3r+5-8r= | | 6x+2+x=x | | 36y^2-18y/6y-7= | | 0=x^2-25x-3000 | | In(3x+2)=0 | | X-20+60+60=180 | | -14r-29=303 | | 5k-4-k=-6+2k | | 1/(t^2-2t-5)^4 | | (-5b)-(6)=(-11)+(2b) | | 6x+2+x=12x+4+x | | 12x^3+20x^2-36x^4= | | 6x+2+x=12x+4 | | y=2400+60x | | 6x+2+1=12x+4 | | 3x^2+5=16x | | 6x+2+1=12x+4+2x | | lnx=e | | 16.5=2.5(6.5z-4) | | 3x-2=27x | | 1.3a+10b=272.3 | | 1=3x+y | | a(n)=11+(n-1)(-2) | | s=300-0.30p |

Equations solver categories