y*y+4x=(y+6)(y-2)

Simple and best practice solution for y*y+4x=(y+6)(y-2) 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*y+4x=(y+6)(y-2) equation: 


Simplifying
y * y + 4x = (y + 6)(y + -2)

Multiply y * y
y2 + 4x = (y + 6)(y + -2)

Reorder the terms:
4x + y2 = (y + 6)(y + -2)

Reorder the terms:
4x + y2 = (6 + y)(y + -2)

Reorder the terms:
4x + y2 = (6 + y)(-2 + y)

Multiply (6 + y) * (-2 + y)
4x + y2 = (6(-2 + y) + y(-2 + y))
4x + y2 = ((-2 * 6 + y * 6) + y(-2 + y))
4x + y2 = ((-12 + 6y) + y(-2 + y))
4x + y2 = (-12 + 6y + (-2 * y + y * y))
4x + y2 = (-12 + 6y + (-2y + y2))

Combine like terms: 6y + -2y = 4y
4x + y2 = (-12 + 4y + y2)

Add '-1y2' to each side of the equation.
4x + y2 + -1y2 = -12 + 4y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
4x + 0 = -12 + 4y + y2 + -1y2
4x = -12 + 4y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
4x = -12 + 4y + 0
4x = -12 + 4y

Solving
4x = -12 + 4y

Solving for variable 'x'.

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

Divide each side by '4'.
x = -3 + y

Simplifying
x = -3 + y

See similar equations:

| 36+(-3)-2= | | 6=7x+x+3/4+5 | | -3c+7=2c-8 | | 4[t-2]-3[t+1]= | | n/10+4=12 | | x(x-2)=7 | | 3x-39=24 | | 5=-2x-2 | | x/19=-2 | | 6x+13=x+3 | | x^4-37x+36=0 | | -7r-2(1-2r)= | | 2/3(x+6)=8 | | X+3=3i | | 2x^2+6x+3x^2= | | 7x^3+x^2+4x+10=0 | | 11y-16=39 | | -6=-1/2x | | e^3x=30 | | 4=14+5X | | 30x^4-80x^2-160=0 | | 4+7(8r-4)= | | 3(n+1)=4n+16 | | 6[x+3]= | | 6(2x+1)-3(4x-3)-(6x+10)=(4x-3)+3 | | 4/9a=8 | | 65+16= | | -(1+10b)+5= | | 19+14= | | -6p-5(2-3p)=4(p-3)-23 | | 2[m+4]+3[m+6]= | | (8x^2+4x+12)/4x |

Equations solver categories