(2Q+1)(3Q+1)=(6Q-1)(Q+2)

Simple and best practice solution for (2Q+1)(3Q+1)=(6Q-1)(Q+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 (2Q+1)(3Q+1)=(6Q-1)(Q+2) equation: 


Simplifying
(2Q + 1)(3Q + 1) = (6Q + -1)(Q + 2)

Reorder the terms:
(1 + 2Q)(3Q + 1) = (6Q + -1)(Q + 2)

Reorder the terms:
(1 + 2Q)(1 + 3Q) = (6Q + -1)(Q + 2)

Multiply (1 + 2Q) * (1 + 3Q)
(1(1 + 3Q) + 2Q * (1 + 3Q)) = (6Q + -1)(Q + 2)
((1 * 1 + 3Q * 1) + 2Q * (1 + 3Q)) = (6Q + -1)(Q + 2)
((1 + 3Q) + 2Q * (1 + 3Q)) = (6Q + -1)(Q + 2)
(1 + 3Q + (1 * 2Q + 3Q * 2Q)) = (6Q + -1)(Q + 2)
(1 + 3Q + (2Q + 6Q2)) = (6Q + -1)(Q + 2)

Combine like terms: 3Q + 2Q = 5Q
(1 + 5Q + 6Q2) = (6Q + -1)(Q + 2)

Reorder the terms:
1 + 5Q + 6Q2 = (-1 + 6Q)(Q + 2)

Reorder the terms:
1 + 5Q + 6Q2 = (-1 + 6Q)(2 + Q)

Multiply (-1 + 6Q) * (2 + Q)
1 + 5Q + 6Q2 = (-1(2 + Q) + 6Q * (2 + Q))
1 + 5Q + 6Q2 = ((2 * -1 + Q * -1) + 6Q * (2 + Q))
1 + 5Q + 6Q2 = ((-2 + -1Q) + 6Q * (2 + Q))
1 + 5Q + 6Q2 = (-2 + -1Q + (2 * 6Q + Q * 6Q))
1 + 5Q + 6Q2 = (-2 + -1Q + (12Q + 6Q2))

Combine like terms: -1Q + 12Q = 11Q
1 + 5Q + 6Q2 = (-2 + 11Q + 6Q2)

Add '-6Q2' to each side of the equation.
1 + 5Q + 6Q2 + -6Q2 = -2 + 11Q + 6Q2 + -6Q2

Combine like terms: 6Q2 + -6Q2 = 0
1 + 5Q + 0 = -2 + 11Q + 6Q2 + -6Q2
1 + 5Q = -2 + 11Q + 6Q2 + -6Q2

Combine like terms: 6Q2 + -6Q2 = 0
1 + 5Q = -2 + 11Q + 0
1 + 5Q = -2 + 11Q

Solving
1 + 5Q = -2 + 11Q

Solving for variable 'Q'.

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

Add '-11Q' to each side of the equation.
1 + 5Q + -11Q = -2 + 11Q + -11Q

Combine like terms: 5Q + -11Q = -6Q
1 + -6Q = -2 + 11Q + -11Q

Combine like terms: 11Q + -11Q = 0
1 + -6Q = -2 + 0
1 + -6Q = -2

Add '-1' to each side of the equation.
1 + -1 + -6Q = -2 + -1

Combine like terms: 1 + -1 = 0
0 + -6Q = -2 + -1
-6Q = -2 + -1

Combine like terms: -2 + -1 = -3
-6Q = -3

Divide each side by '-6'.
Q = 0.5

Simplifying
Q = 0.5

See similar equations:

| 2(-x+7)-6(4x+3)=15 | | 7x+13y=N | | 5xy/52/5/-25xy | | Y=-3sin(7) | | 22xy=6 | | Y=-3sin(6) | | Y=-3sin(5) | | Y=-3sin(4) | | x-2(5-2x)=10 | | Y=-3sin(3) | | Y=-3sin(2) | | Y=-3sin(1) | | 25=1-3w | | 2*x=5000 | | 2*x=500 | | (3/5)/(4/15) | | x+2+x=14 | | 3x+2y+2x+4y=6 | | Y=(x+4)lnx | | 5t+16-6=5t | | 5-3x+4=15 | | 18=4w-w | | 2x^5*y^4*z^7+x^5*y^4*z^7= | | -12x=-204 | | 2xyz+xyz= | | (4/7)-35 | | x+2+x-4=14 | | 3x*17=8x-2 | | (-4/7)-35 | | -2k-2/2 | | Z^2=4z | | -2(x-3)=-2(x+1)-4 |

Equations solver categories