2y^2-6y-20=(y-1)(y-1)

Simple and best practice solution for 2y^2-6y-20=(y-1)(y-1) 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 2y^2-6y-20=(y-1)(y-1) equation: 


Simplifying
2y2 + -6y + -20 = (y + -1)(y + -1)

Reorder the terms:
-20 + -6y + 2y2 = (y + -1)(y + -1)

Reorder the terms:
-20 + -6y + 2y2 = (-1 + y)(y + -1)

Reorder the terms:
-20 + -6y + 2y2 = (-1 + y)(-1 + y)

Multiply (-1 + y) * (-1 + y)
-20 + -6y + 2y2 = (-1(-1 + y) + y(-1 + y))
-20 + -6y + 2y2 = ((-1 * -1 + y * -1) + y(-1 + y))
-20 + -6y + 2y2 = ((1 + -1y) + y(-1 + y))
-20 + -6y + 2y2 = (1 + -1y + (-1 * y + y * y))
-20 + -6y + 2y2 = (1 + -1y + (-1y + y2))

Combine like terms: -1y + -1y = -2y
-20 + -6y + 2y2 = (1 + -2y + y2)

Solving
-20 + -6y + 2y2 = 1 + -2y + y2

Solving for variable 'y'.

Reorder the terms:
-20 + -1 + -6y + 2y + 2y2 + -1y2 = 1 + -2y + y2 + -1 + 2y + -1y2

Combine like terms: -20 + -1 = -21
-21 + -6y + 2y + 2y2 + -1y2 = 1 + -2y + y2 + -1 + 2y + -1y2

Combine like terms: -6y + 2y = -4y
-21 + -4y + 2y2 + -1y2 = 1 + -2y + y2 + -1 + 2y + -1y2

Combine like terms: 2y2 + -1y2 = 1y2
-21 + -4y + 1y2 = 1 + -2y + y2 + -1 + 2y + -1y2

Reorder the terms:
-21 + -4y + 1y2 = 1 + -1 + -2y + 2y + y2 + -1y2

Combine like terms: 1 + -1 = 0
-21 + -4y + 1y2 = 0 + -2y + 2y + y2 + -1y2
-21 + -4y + 1y2 = -2y + 2y + y2 + -1y2

Combine like terms: -2y + 2y = 0
-21 + -4y + 1y2 = 0 + y2 + -1y2
-21 + -4y + 1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-21 + -4y + 1y2 = 0

Factor a trinomial.
(-3 + -1y)(7 + -1y) = 0


Subproblem 1
Set the factor '(-3 + -1y)' equal to zero and attempt to solve:

Simplifying
-3 + -1y = 0

Solving
-3 + -1y = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = 0 + 3
-1y = 0 + 3

Combine like terms: 0 + 3 = 3
-1y = 3

Divide each side by '-1'.
y = -3

Simplifying
y = -3

Subproblem 2
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
Solution
y = {-3, 7}

See similar equations:

| 0.1(-4t)= | | 80g+30h= | | B/20=2 | | 3.33y=13.33 | | 8+3(y-4)=6y-1 | | 5.4(-3.1x)= | | a^2=64/225 | | (1/4*4)y=1/4(-1.6) | | 16y+11x=5 | | 0=-16t^2+64t+300 | | -.667x+2=4 | | 6n=224 | | (0.8g)(4)= | | 4c=2.4 | | 1m+4m+7=37 | | log(1+x)=x | | 11x+16y=5fory | | 14x+35y=56 | | 3(7.5v)= | | 6(n-7)(n-5)=0 | | 0.5x+2y=3 | | (1/5*5)z=1/5(-3.8) | | 2x^2-18x-3y-12=0 | | 75(2x+5)= | | ln(1+x)=x | | 2.2(2-1.2s)= | | 8n+5-3n=8n-4 | | (1/5*5)z=1/5(-3.8 | | 8+7x=124 | | 63-28y^2=0 | | r+20=-36 | | 5m+6km+-8hm=m |

Equations solver categories