2v^2+17v+42=(v+6)(v+6)

Simple and best practice solution for 2v^2+17v+42=(v+6)(v+6) 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+17v+42=(v+6)(v+6) equation: 


Simplifying
2v2 + 17v + 42 = (v + 6)(v + 6)

Reorder the terms:
42 + 17v + 2v2 = (v + 6)(v + 6)

Reorder the terms:
42 + 17v + 2v2 = (6 + v)(v + 6)

Reorder the terms:
42 + 17v + 2v2 = (6 + v)(6 + v)

Multiply (6 + v) * (6 + v)
42 + 17v + 2v2 = (6(6 + v) + v(6 + v))
42 + 17v + 2v2 = ((6 * 6 + v * 6) + v(6 + v))
42 + 17v + 2v2 = ((36 + 6v) + v(6 + v))
42 + 17v + 2v2 = (36 + 6v + (6 * v + v * v))
42 + 17v + 2v2 = (36 + 6v + (6v + v2))

Combine like terms: 6v + 6v = 12v
42 + 17v + 2v2 = (36 + 12v + v2)

Solving
42 + 17v + 2v2 = 36 + 12v + v2

Solving for variable 'v'.

Reorder the terms:
42 + -36 + 17v + -12v + 2v2 + -1v2 = 36 + 12v + v2 + -36 + -12v + -1v2

Combine like terms: 42 + -36 = 6
6 + 17v + -12v + 2v2 + -1v2 = 36 + 12v + v2 + -36 + -12v + -1v2

Combine like terms: 17v + -12v = 5v
6 + 5v + 2v2 + -1v2 = 36 + 12v + v2 + -36 + -12v + -1v2

Combine like terms: 2v2 + -1v2 = 1v2
6 + 5v + 1v2 = 36 + 12v + v2 + -36 + -12v + -1v2

Reorder the terms:
6 + 5v + 1v2 = 36 + -36 + 12v + -12v + v2 + -1v2

Combine like terms: 36 + -36 = 0
6 + 5v + 1v2 = 0 + 12v + -12v + v2 + -1v2
6 + 5v + 1v2 = 12v + -12v + v2 + -1v2

Combine like terms: 12v + -12v = 0
6 + 5v + 1v2 = 0 + v2 + -1v2
6 + 5v + 1v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
6 + 5v + 1v2 = 0

Factor a trinomial.
(3 + v)(2 + v) = 0


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

Simplifying
3 + v = 0

Solving
3 + v = 0

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

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

Combine like terms: 3 + -3 = 0
0 + v = 0 + -3
v = 0 + -3

Combine like terms: 0 + -3 = -3
v = -3

Simplifying
v = -3

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

Simplifying
2 + v = 0

Solving
2 + v = 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 + v = 0 + -2

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

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

Simplifying
v = -2
Solution
v = {-3, -2}

See similar equations:

| m-n=-8 | | 2y-10x=12 | | 3ax-6bx=2a-2b | | 2-5(2x+6)=-8 | | 1/16=2^3x-1 | | 5.5x+1-(1.5x+17)= | | 4p^2=-28p | | 3x^2-30x-75=-27 | | -112+5x=128-7x | | Y=x^3-2x^2-11x+2 | | 3b*4c*2d= | | 9x^2=5-12x | | 4a+2b+2=0 | | 7x-9=360 | | -2+x=-(x+6) | | 17x+15=2x | | 2a+b+5=0 | | (10x-14)-5=-156 | | 4w^2=-13w-3 | | 3(-2-3u)=-9u(-4) | | 15=3x+2(x+5) | | y^2+8y=-11 | | 8.8=-13.4 | | 3a-b=14 | | 7x-2x+35=95 | | 14x+6+10x=64 | | 7=1+1.3ln(x+1) | | 14+n=(-8n+5)+1 | | -5x-8(1+3x)=4x-3x-63-5 | | 5+2x+2=2x | | 4x^3-28x^2=0 | | -15-5x+4=5x-11 |

Equations solver categories