2v^2-7v+55=(v-7)(v-7)

Simple and best practice solution for 2v^2-7v+55=(v-7)(v-7) 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^2-7v+55=(v-7)(v-7) equation: 


Simplifying
2v2 + -7v + 55 = (v + -7)(v + -7)

Reorder the terms:
55 + -7v + 2v2 = (v + -7)(v + -7)

Reorder the terms:
55 + -7v + 2v2 = (-7 + v)(v + -7)

Reorder the terms:
55 + -7v + 2v2 = (-7 + v)(-7 + v)

Multiply (-7 + v) * (-7 + v)
55 + -7v + 2v2 = (-7(-7 + v) + v(-7 + v))
55 + -7v + 2v2 = ((-7 * -7 + v * -7) + v(-7 + v))
55 + -7v + 2v2 = ((49 + -7v) + v(-7 + v))
55 + -7v + 2v2 = (49 + -7v + (-7 * v + v * v))
55 + -7v + 2v2 = (49 + -7v + (-7v + v2))

Combine like terms: -7v + -7v = -14v
55 + -7v + 2v2 = (49 + -14v + v2)

Solving
55 + -7v + 2v2 = 49 + -14v + v2

Solving for variable 'v'.

Reorder the terms:
55 + -49 + -7v + 14v + 2v2 + -1v2 = 49 + -14v + v2 + -49 + 14v + -1v2

Combine like terms: 55 + -49 = 6
6 + -7v + 14v + 2v2 + -1v2 = 49 + -14v + v2 + -49 + 14v + -1v2

Combine like terms: -7v + 14v = 7v
6 + 7v + 2v2 + -1v2 = 49 + -14v + v2 + -49 + 14v + -1v2

Combine like terms: 2v2 + -1v2 = 1v2
6 + 7v + 1v2 = 49 + -14v + v2 + -49 + 14v + -1v2

Reorder the terms:
6 + 7v + 1v2 = 49 + -49 + -14v + 14v + v2 + -1v2

Combine like terms: 49 + -49 = 0
6 + 7v + 1v2 = 0 + -14v + 14v + v2 + -1v2
6 + 7v + 1v2 = -14v + 14v + v2 + -1v2

Combine like terms: -14v + 14v = 0
6 + 7v + 1v2 = 0 + v2 + -1v2
6 + 7v + 1v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
6 + 7v + 1v2 = 0

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


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

Simplifying
6 + v = 0

Solving
6 + v = 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 + v = 0 + -6

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

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

Simplifying
v = -6

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

Simplifying
1 + v = 0

Solving
1 + v = 0

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

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

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

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

Simplifying
v = -1
Solution
v = {-6, -1}

See similar equations:

| 2x+4(-x-5)=14 | | -6x+3=-101+7x | | f(x)=5tan(2x) | | 7x^2+4x-18=37 | | z^5+32-32i=0 | | -2(4-2x)=-3x-5 | | 3x^4+3x^2=6x^2+6x | | 5=8n-7+4n | | 2(x+8)-10=-2x+2 | | -5x-2=6x+130 | | 10-x+7x=34 | | 26=-8y+6(y+2) | | 12x+7=-10-4 | | -6+5x-4x=6 | | 5x-5=7+6x | | 2x+19y=23 | | 26.25/5 | | -30=x-4x+30 | | 3+12=-5x-25 | | C+3b=8 | | 7+7x+3x=-113 | | 12/7-6/7 | | (24/2x)-6x=2y | | T=15x+1000 | | (-8e^5-6x)+10=-16 | | g(x)=-5x-4 | | -2u+15=52 | | 5x-3x+12=2x-12 | | log=20 | | x+10=Y-11 | | a^3+b^3c^3=30 | | 6x+1-4x=1 |

Equations solver categories