(3v-2)(2v+1)=3v^2-18v-12

Simple and best practice solution for (3v-2)(2v+1)=3v^2-18v-12 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 (3v-2)(2v+1)=3v^2-18v-12 equation: 


Simplifying
(3v + -2)(2v + 1) = 3v2 + -18v + -12

Reorder the terms:
(-2 + 3v)(2v + 1) = 3v2 + -18v + -12

Reorder the terms:
(-2 + 3v)(1 + 2v) = 3v2 + -18v + -12

Multiply (-2 + 3v) * (1 + 2v)
(-2(1 + 2v) + 3v * (1 + 2v)) = 3v2 + -18v + -12
((1 * -2 + 2v * -2) + 3v * (1 + 2v)) = 3v2 + -18v + -12
((-2 + -4v) + 3v * (1 + 2v)) = 3v2 + -18v + -12
(-2 + -4v + (1 * 3v + 2v * 3v)) = 3v2 + -18v + -12
(-2 + -4v + (3v + 6v2)) = 3v2 + -18v + -12

Combine like terms: -4v + 3v = -1v
(-2 + -1v + 6v2) = 3v2 + -18v + -12

Reorder the terms:
-2 + -1v + 6v2 = -12 + -18v + 3v2

Solving
-2 + -1v + 6v2 = -12 + -18v + 3v2

Solving for variable 'v'.

Reorder the terms:
-2 + 12 + -1v + 18v + 6v2 + -3v2 = -12 + -18v + 3v2 + 12 + 18v + -3v2

Combine like terms: -2 + 12 = 10
10 + -1v + 18v + 6v2 + -3v2 = -12 + -18v + 3v2 + 12 + 18v + -3v2

Combine like terms: -1v + 18v = 17v
10 + 17v + 6v2 + -3v2 = -12 + -18v + 3v2 + 12 + 18v + -3v2

Combine like terms: 6v2 + -3v2 = 3v2
10 + 17v + 3v2 = -12 + -18v + 3v2 + 12 + 18v + -3v2

Reorder the terms:
10 + 17v + 3v2 = -12 + 12 + -18v + 18v + 3v2 + -3v2

Combine like terms: -12 + 12 = 0
10 + 17v + 3v2 = 0 + -18v + 18v + 3v2 + -3v2
10 + 17v + 3v2 = -18v + 18v + 3v2 + -3v2

Combine like terms: -18v + 18v = 0
10 + 17v + 3v2 = 0 + 3v2 + -3v2
10 + 17v + 3v2 = 3v2 + -3v2

Combine like terms: 3v2 + -3v2 = 0
10 + 17v + 3v2 = 0

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


Subproblem 1
Set the factor '(5 + v)' equal to zero and attempt to solve:

Simplifying
5 + v = 0

Solving
5 + v = 0

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

Add '-5' to each side of the equation.
5 + -5 + v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + v = 0 + -5
v = 0 + -5

Combine like terms: 0 + -5 = -5
v = -5

Simplifying
v = -5

Subproblem 2
Set the factor '(2 + 3v)' equal to zero and attempt to solve:

Simplifying
2 + 3v = 0

Solving
2 + 3v = 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 + 3v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3v = 0 + -2
3v = 0 + -2

Combine like terms: 0 + -2 = -2
3v = -2

Divide each side by '3'.
v = -0.6666666667

Simplifying
v = -0.6666666667
Solution
v = {-5, -0.6666666667}

See similar equations:

| 8(8q-6)= | | .13y-.08(y+6)=1.02 | | X^4-25x+310=0 | | 2y+5=x(3-7y) | | X^2+9x+15= | | 10e-9=2e-n | | log(y)=4.48-1.8(2) | | =2e-39 | | 10(t-6)+5t=(3t+3)-9 | | 2s+13=25 | | (6y+4)-(2+5y)=9 | | 7m-3=-7+9m | | x-5+74=90 | | x-5+58=90 | | 9p+8=15+8p | | 5y^2-13y-6y=0 | | 8-2y+3*2=0 | | y+1+74=180 | | x-5+58=180 | | 3z+2z-14=16 | | 25x^2+49-70x=0 | | -6a+14=44 | | 75x^2+150x-33= | | (5z-4)(9-z)=0 | | Y=-7x*7+1507 | | 2.6x+.85=x+2.61 | | 5x=6y+7 | | 81x-9= | | ((x)/(x-6))=((7)/(x-4)) | | Y=-6*4+1506 | | (ln(x+2))-(ln(x))=1 | | 0.05(336-x)+0.07x=48 |

Equations solver categories