3Q^2+3Q-8=0

Simple and best practice solution for 3Q^2+3Q-8=0 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 3Q^2+3Q-8=0 equation: 


Simplifying
3Q2 + 3Q + -8 = 0

Reorder the terms:
-8 + 3Q + 3Q2 = 0

Solving
-8 + 3Q + 3Q2 = 0

Solving for variable 'Q'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
-2.666666667 + Q + Q2 = 0

Move the constant term to the right:

Add '2.666666667' to each side of the equation.
-2.666666667 + Q + 2.666666667 + Q2 = 0 + 2.666666667

Reorder the terms:
-2.666666667 + 2.666666667 + Q + Q2 = 0 + 2.666666667

Combine like terms: -2.666666667 + 2.666666667 = 0.000000000
0.000000000 + Q + Q2 = 0 + 2.666666667
Q + Q2 = 0 + 2.666666667

Combine like terms: 0 + 2.666666667 = 2.666666667
Q + Q2 = 2.666666667

The Q term is Q.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + Q2 = 2.666666667 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + Q2 = 2.666666667 + 0.25

Combine like terms: 2.666666667 + 0.25 = 2.916666667
1.25 + Q2 = 2.916666667

Factor a perfect square on the left side:
(Q + 0.5)(Q + 0.5) = 2.916666667

Calculate the square root of the right side: 1.707825128

Break this problem into two subproblems by setting 
(Q + 0.5) equal to 1.707825128 and -1.707825128.


Subproblem 1
Q + 0.5 = 1.707825128

Simplifying
Q + 0.5 = 1.707825128

Reorder the terms:
0.5 + Q = 1.707825128

Solving
0.5 + Q = 1.707825128

Solving for variable 'Q'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + Q = 1.707825128 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + Q = 1.707825128 + -0.5
Q = 1.707825128 + -0.5

Combine like terms: 1.707825128 + -0.5 = 1.207825128
Q = 1.207825128

Simplifying
Q = 1.207825128


Subproblem 2
Q + 0.5 = -1.707825128

Simplifying
Q + 0.5 = -1.707825128

Reorder the terms:
0.5 + Q = -1.707825128

Solving
0.5 + Q = -1.707825128

Solving for variable 'Q'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + Q = -1.707825128 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + Q = -1.707825128 + -0.5
Q = -1.707825128 + -0.5

Combine like terms: -1.707825128 + -0.5 = -2.207825128
Q = -2.207825128

Simplifying
Q = -2.207825128


Solution
The solution to the problem is based on the solutions
from the subproblems.
Q = {1.207825128, -2.207825128}

See similar equations:

| 5+3x=40-2x | | (1-lnx)=0 | | -4r=-400 | | 8n^2=536 | | 0+3y=4 | | 3n^2+8n+5=0 | | 5x+15=4x-65 | | 10+8x=24+x | | 7b^2-25b-12=0 | | 7m^2+43m+6=0 | | 6x-9=3(2x-3x) | | K^2+3=-9 | | 4x^2-4x-65=0 | | x-1/31/4 | | 2x/3-5=-3 | | 32=2a+8 | | 9(6+5x+1)=225+99 | | 17=x/13 | | 3(p+7)-5=11p-44 | | 50=2b+6 | | y=4x+(-3) | | 40=2b+6 | | 9h-14=49 | | 6r^2-29+20=0 | | 8(3x+2)+4=5(6x+7)-7 | | (7z-1)/2=3z-2 | | 63+45x=225x+99 | | 5/6x6/7 | | 10x+12=15x+2 | | 3x+10y-22=0 | | a+4=5c+20 | | -17/2x12 |

Equations solver categories