(2v+1)(v-2)=-v(v+2)

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


Simplifying
(2v + 1)(v + -2) = -1v(v + 2)

Reorder the terms:
(1 + 2v)(v + -2) = -1v(v + 2)

Reorder the terms:
(1 + 2v)(-2 + v) = -1v(v + 2)

Multiply (1 + 2v) * (-2 + v)
(1(-2 + v) + 2v * (-2 + v)) = -1v(v + 2)
((-2 * 1 + v * 1) + 2v * (-2 + v)) = -1v(v + 2)
((-2 + 1v) + 2v * (-2 + v)) = -1v(v + 2)
(-2 + 1v + (-2 * 2v + v * 2v)) = -1v(v + 2)
(-2 + 1v + (-4v + 2v2)) = -1v(v + 2)

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

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

Solving
-2 + -3v + 2v2 = -2v + -1v2

Solving for variable 'v'.

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

Combine like terms: -3v + 2v = -1v
-2 + -1v + 2v2 + v2 = -2v + -1v2 + 2v + v2

Combine like terms: 2v2 + v2 = 3v2
-2 + -1v + 3v2 = -2v + -1v2 + 2v + v2

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

Combine like terms: -2v + 2v = 0
-2 + -1v + 3v2 = 0 + -1v2 + v2
-2 + -1v + 3v2 = -1v2 + v2

Combine like terms: -1v2 + v2 = 0
-2 + -1v + 3v2 = 0

Factor a trinomial.
(-2 + -3v)(1 + -1v) = 0


Subproblem 1
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

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

Simplifying
1 + -1v = 0

Solving
1 + -1v = 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 + -1v = 0 + -1

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

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

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

Simplifying
v = 1
Solution
v = {-0.6666666667, 1}

See similar equations:

| 8x+2(x+1)= | | 2y+9=-5 | | 0.4(1-5x)=-0.5(4x+3) | | -3y+(-7)=23 | | 14x-15=-8x^2 | | 5*4+8= | | 3y*2+y*2= | | 5*4+8y= | | 11x=4x+28 | | 12x(x+1)+3=5(2x+1)+2 | | 11x=4+28 | | 3x+(-8)=-29 | | 5x^2+6x+5y^2-2y-11=0 | | 1.3n+0.8=0.9x+3.8 | | 5x+10-4= | | 3a-5=(-23) | | 6y+(16-2y)=4(4+y) | | 9z-3(3z-7)+5(4-6z)= | | -6+3=-9 | | 5n-8(1+7n)=-8 | | x*2+162=x*11-9 | | x+23x=41 | | 90-4x=23x+24 | | 5-8x=83-29x | | x*11-193=x*4-11 | | -4x=25 | | 69-7x=20x+24 | | x+19=-11 | | 9-8x=75-22x | | 13x-4(x-1)=7-3(2x-6) | | 5x-1=12x-10 | | 4x+16=11x-68 |

Equations solver categories