2v^2-4v+4=(v-4)(v-4)

Simple and best practice solution for 2v^2-4v+4=(v-4)(v-4) 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 2v^2-4v+4=(v-4)(v-4) equation: 


Simplifying
2v2 + -4v + 4 = (v + -4)(v + -4)

Reorder the terms:
4 + -4v + 2v2 = (v + -4)(v + -4)

Reorder the terms:
4 + -4v + 2v2 = (-4 + v)(v + -4)

Reorder the terms:
4 + -4v + 2v2 = (-4 + v)(-4 + v)

Multiply (-4 + v) * (-4 + v)
4 + -4v + 2v2 = (-4(-4 + v) + v(-4 + v))
4 + -4v + 2v2 = ((-4 * -4 + v * -4) + v(-4 + v))
4 + -4v + 2v2 = ((16 + -4v) + v(-4 + v))
4 + -4v + 2v2 = (16 + -4v + (-4 * v + v * v))
4 + -4v + 2v2 = (16 + -4v + (-4v + v2))

Combine like terms: -4v + -4v = -8v
4 + -4v + 2v2 = (16 + -8v + v2)

Solving
4 + -4v + 2v2 = 16 + -8v + v2

Solving for variable 'v'.

Reorder the terms:
4 + -16 + -4v + 8v + 2v2 + -1v2 = 16 + -8v + v2 + -16 + 8v + -1v2

Combine like terms: 4 + -16 = -12
-12 + -4v + 8v + 2v2 + -1v2 = 16 + -8v + v2 + -16 + 8v + -1v2

Combine like terms: -4v + 8v = 4v
-12 + 4v + 2v2 + -1v2 = 16 + -8v + v2 + -16 + 8v + -1v2

Combine like terms: 2v2 + -1v2 = 1v2
-12 + 4v + 1v2 = 16 + -8v + v2 + -16 + 8v + -1v2

Reorder the terms:
-12 + 4v + 1v2 = 16 + -16 + -8v + 8v + v2 + -1v2

Combine like terms: 16 + -16 = 0
-12 + 4v + 1v2 = 0 + -8v + 8v + v2 + -1v2
-12 + 4v + 1v2 = -8v + 8v + v2 + -1v2

Combine like terms: -8v + 8v = 0
-12 + 4v + 1v2 = 0 + v2 + -1v2
-12 + 4v + 1v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
-12 + 4v + 1v2 = 0

Factor a trinomial.
(-6 + -1v)(2 + -1v) = 0


Subproblem 1
Set the factor '(-6 + -1v)' equal to zero and attempt to solve:

Simplifying
-6 + -1v = 0

Solving
-6 + -1v = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1v = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1v = 0 + 6
-1v = 0 + 6

Combine like terms: 0 + 6 = 6
-1v = 6

Divide each side by '-1'.
v = -6

Simplifying
v = -6

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

Simplifying
2 + -1v = 0

Solving
2 + -1v = 0

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

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

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

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

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

Simplifying
v = 2
Solution
v = {-6, 2}

See similar equations:

| 10-3m=7 | | 7x+17=3x-20 | | 5/3x+2/3=5 | | 9=3x+3 | | 185x-7625=0 | | 5y+2y=6y+5 | | 6(4x-3)-10=2(7x-9) | | rs-to=us+v | | f(x)=x^3-512 | | 6(4x-3)-10=15x-14 | | 3x+15=6x+18 | | 4/3x-2/3=-5 | | 3-3.2y+2=14.6 | | sqrt(3x+4)+4-2x=0 | | Ax+bc=-c | | 2/3c=d | | 4/12*4/12 | | 3(2x-1)=2x-15 | | 6(4x-3)-10=2(7x-10) | | 4x+12=5x+20 | | 6(x-2)+5=3(2x-3) | | x+x^2-184=0 | | 6(4x-3)-10=14x-15 | | 3m^2+7m-26=0 | | 6x-6=11+2x+5 | | 2/5x+6/5=11 | | 115-3x=42x+15 | | 24x+24=28x | | -12.00+3.00x=12.00 | | 4.7+10m=8.61 | | x+x^2=184 | | -12.00+3.00x=3.00 |

Equations solver categories