(Y-3)(y-2)-(2y-1)(y+1)=0

Simple and best practice solution for (Y-3)(y-2)-(2y-1)(y+1)=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-3)(y-2)-(2y-1)(y+1)=0 equation: 


Simplifying
(Y + -3)(y + -2) + -1(2y + -1)(y + 1) = 0

Reorder the terms:
(-3 + Y)(y + -2) + -1(2y + -1)(y + 1) = 0

Reorder the terms:
(-3 + Y)(-2 + y) + -1(2y + -1)(y + 1) = 0

Multiply (-3 + Y) * (-2 + y)
(-3(-2 + y) + Y(-2 + y)) + -1(2y + -1)(y + 1) = 0
((-2 * -3 + y * -3) + Y(-2 + y)) + -1(2y + -1)(y + 1) = 0
((6 + -3y) + Y(-2 + y)) + -1(2y + -1)(y + 1) = 0
(6 + -3y + (-2 * Y + y * Y)) + -1(2y + -1)(y + 1) = 0
(6 + -3y + (-2Y + yY)) + -1(2y + -1)(y + 1) = 0

Reorder the terms:
(6 + -2Y + -3y + yY) + -1(2y + -1)(y + 1) = 0
(6 + -2Y + -3y + yY) + -1(2y + -1)(y + 1) = 0

Reorder the terms:
6 + -2Y + -3y + yY + -1(-1 + 2y)(y + 1) = 0

Reorder the terms:
6 + -2Y + -3y + yY + -1(-1 + 2y)(1 + y) = 0

Multiply (-1 + 2y) * (1 + y)
6 + -2Y + -3y + yY + -1(-1(1 + y) + 2y * (1 + y)) = 0
6 + -2Y + -3y + yY + -1((1 * -1 + y * -1) + 2y * (1 + y)) = 0
6 + -2Y + -3y + yY + -1((-1 + -1y) + 2y * (1 + y)) = 0
6 + -2Y + -3y + yY + -1(-1 + -1y + (1 * 2y + y * 2y)) = 0
6 + -2Y + -3y + yY + -1(-1 + -1y + (2y + 2y2)) = 0

Combine like terms: -1y + 2y = 1y
6 + -2Y + -3y + yY + -1(-1 + 1y + 2y2) = 0
6 + -2Y + -3y + yY + (-1 * -1 + 1y * -1 + 2y2 * -1) = 0
6 + -2Y + -3y + yY + (1 + -1y + -2y2) = 0

Reorder the terms:
6 + 1 + -2Y + -3y + -1y + yY + -2y2 = 0

Combine like terms: 6 + 1 = 7
7 + -2Y + -3y + -1y + yY + -2y2 = 0

Combine like terms: -3y + -1y = -4y
7 + -2Y + -4y + yY + -2y2 = 0

Solving
7 + -2Y + -4y + yY + -2y2 = 0

Solving for variable 'Y'.

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

Add '-7' to each side of the equation.
7 + -2Y + -4y + yY + -7 + -2y2 = 0 + -7

Reorder the terms:
7 + -7 + -2Y + -4y + yY + -2y2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2Y + -4y + yY + -2y2 = 0 + -7
-2Y + -4y + yY + -2y2 = 0 + -7

Combine like terms: 0 + -7 = -7
-2Y + -4y + yY + -2y2 = -7

Add '4y' to each side of the equation.
-2Y + -4y + yY + 4y + -2y2 = -7 + 4y

Reorder the terms:
-2Y + -4y + 4y + yY + -2y2 = -7 + 4y

Combine like terms: -4y + 4y = 0
-2Y + 0 + yY + -2y2 = -7 + 4y
-2Y + yY + -2y2 = -7 + 4y

Add '2y2' to each side of the equation.
-2Y + yY + -2y2 + 2y2 = -7 + 4y + 2y2

Combine like terms: -2y2 + 2y2 = 0
-2Y + yY + 0 = -7 + 4y + 2y2
-2Y + yY = -7 + 4y + 2y2

Reorder the terms:
7 + -2Y + -4y + yY + -2y2 = -7 + 4y + 2y2 + 7 + -4y + -2y2

Reorder the terms:
7 + -2Y + -4y + yY + -2y2 = -7 + 7 + 4y + -4y + 2y2 + -2y2

Combine like terms: -7 + 7 = 0
7 + -2Y + -4y + yY + -2y2 = 0 + 4y + -4y + 2y2 + -2y2
7 + -2Y + -4y + yY + -2y2 = 4y + -4y + 2y2 + -2y2

Combine like terms: 4y + -4y = 0
7 + -2Y + -4y + yY + -2y2 = 0 + 2y2 + -2y2
7 + -2Y + -4y + yY + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
7 + -2Y + -4y + yY + -2y2 = 0

The solution to this equation could not be determined.

See similar equations:

| 15x+12x-17+20x+17x-7=360 | | 9x^2+46x-5=0 | | 15(y-4)-2(y-9)+(y+6)=0 | | -8x-2y=-40 | | 15x+12x-17+20+17x-7=360 | | m^2+2m-42=0 | | 6x(squared)-8x(squared)-5x= | | x^2-8x=5x | | a=(0.5x+6)*(0.5x+6) | | a=(0.25x+6)*(0.25x+6) | | 9+3=-2 | | 36x-64x-5x= | | 155(5x)=360 | | 100[0.03(n+10)]= | | 3x^3+10x^2+9x+2=0 | | a=(2x+5y)*(2x+5y) | | 2x+-x+5=11 | | y=-x^2-5 | | 180(2x+4)+(3x-29)=360 | | Y=[a+b(Y-T-ty)]+c-dr+G | | f(x)=3x^2+6x-2 | | 3x-76=59-6x | | 6(5z-1)-3(z+6)=2z+1 | | 2e^2x=e^2x+1 | | 9x-99=77-2x | | 4(2x-8)=136 | | 5x+5=-2-8x | | y=cos^3(tan*3x) | | -2y-7=3-7y | | x^2+7x-256=0 | | 0-100=100 | | y=12x-1 |

Equations solver categories