-y(2)-4y+12=(-y+6)(y-2)

Simple and best practice solution for -y(2)-4y+12=(-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(2)-4y+12=(-y+6)(y-2) equation: 


Simplifying
-1y(2) + -4y + 12 = (-1y + 6)(y + -2)

Reorder the terms for easier multiplication:
-1 * 2y + -4y + 12 = (-1y + 6)(y + -2)

Multiply -1 * 2
-2y + -4y + 12 = (-1y + 6)(y + -2)

Reorder the terms:
12 + -2y + -4y = (-1y + 6)(y + -2)

Combine like terms: -2y + -4y = -6y
12 + -6y = (-1y + 6)(y + -2)

Reorder the terms:
12 + -6y = (6 + -1y)(y + -2)

Reorder the terms:
12 + -6y = (6 + -1y)(-2 + y)

Multiply (6 + -1y) * (-2 + y)
12 + -6y = (6(-2 + y) + -1y * (-2 + y))
12 + -6y = ((-2 * 6 + y * 6) + -1y * (-2 + y))
12 + -6y = ((-12 + 6y) + -1y * (-2 + y))
12 + -6y = (-12 + 6y + (-2 * -1y + y * -1y))
12 + -6y = (-12 + 6y + (2y + -1y2))

Combine like terms: 6y + 2y = 8y
12 + -6y = (-12 + 8y + -1y2)

Solving
12 + -6y = -12 + 8y + -1y2

Solving for variable 'y'.

Reorder the terms:
12 + 12 + -6y + -8y + y2 = -12 + 8y + -1y2 + 12 + -8y + y2

Combine like terms: 12 + 12 = 24
24 + -6y + -8y + y2 = -12 + 8y + -1y2 + 12 + -8y + y2

Combine like terms: -6y + -8y = -14y
24 + -14y + y2 = -12 + 8y + -1y2 + 12 + -8y + y2

Reorder the terms:
24 + -14y + y2 = -12 + 12 + 8y + -8y + -1y2 + y2

Combine like terms: -12 + 12 = 0
24 + -14y + y2 = 0 + 8y + -8y + -1y2 + y2
24 + -14y + y2 = 8y + -8y + -1y2 + y2

Combine like terms: 8y + -8y = 0
24 + -14y + y2 = 0 + -1y2 + y2
24 + -14y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
24 + -14y + y2 = 0

Factor a trinomial.
(2 + -1y)(12 + -1y) = 0


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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2

Subproblem 2
Set the factor '(12 + -1y)' equal to zero and attempt to solve:

Simplifying
12 + -1y = 0

Solving
12 + -1y = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1y = 0 + -12
-1y = 0 + -12

Combine like terms: 0 + -12 = -12
-1y = -12

Divide each side by '-1'.
y = 12

Simplifying
y = 12
Solution
y = {2, 12}

See similar equations:

| -4(6r-8)=32+3r | | -y(2)-4y+12=-1(y-6)(y+2) | | 6p-8=20+2p | | 3(15)+2Y-5=85 | | 9s-10=-10+s | | -28.9a-35.4=a+469.91 | | 15*a/8=360 | | 6k-12k-42=6 | | -zx-16=X+6 | | 4v^2-16=-2v | | a-m=10 | | x=4/4=x/x-2 | | (x+1)+(16+x+1)=_ | | 55*a/16=80 | | 931/49 | | 2(16-x)+x=18 | | 49/931 | | 7-x=x^2-4x+7 | | 14a^2=-56+65a | | 6r=39/4 | | -26=-5s+4s | | -15h(4)-35h(3)-10h(2)= | | 40/27= | | 15.8r+3.7=r-244.94 | | 6r=80/9 | | 1/3x6x12 | | (x+1)(x+4)=-1 | | 3x^2+200x=5200 | | (2x(2)+12x)(x-5)= | | -3.8a+4.9=a+204.58 | | 2x(x+6)(x-5)= | | j+127.22=-5.1j+4 |

Equations solver categories