2Q^2+21Q+125=-4Q^2-9Q+1721

Simple and best practice solution for 2Q^2+21Q+125=-4Q^2-9Q+1721 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^2+21Q+125=-4Q^2-9Q+1721 equation: 


Simplifying
2Q2 + 21Q + 125 = -4Q2 + -9Q + 1721

Reorder the terms:
125 + 21Q + 2Q2 = -4Q2 + -9Q + 1721

Reorder the terms:
125 + 21Q + 2Q2 = 1721 + -9Q + -4Q2

Solving
125 + 21Q + 2Q2 = 1721 + -9Q + -4Q2

Solving for variable 'Q'.

Reorder the terms:
125 + -1721 + 21Q + 9Q + 2Q2 + 4Q2 = 1721 + -9Q + -4Q2 + -1721 + 9Q + 4Q2

Combine like terms: 125 + -1721 = -1596
-1596 + 21Q + 9Q + 2Q2 + 4Q2 = 1721 + -9Q + -4Q2 + -1721 + 9Q + 4Q2

Combine like terms: 21Q + 9Q = 30Q
-1596 + 30Q + 2Q2 + 4Q2 = 1721 + -9Q + -4Q2 + -1721 + 9Q + 4Q2

Combine like terms: 2Q2 + 4Q2 = 6Q2
-1596 + 30Q + 6Q2 = 1721 + -9Q + -4Q2 + -1721 + 9Q + 4Q2

Reorder the terms:
-1596 + 30Q + 6Q2 = 1721 + -1721 + -9Q + 9Q + -4Q2 + 4Q2

Combine like terms: 1721 + -1721 = 0
-1596 + 30Q + 6Q2 = 0 + -9Q + 9Q + -4Q2 + 4Q2
-1596 + 30Q + 6Q2 = -9Q + 9Q + -4Q2 + 4Q2

Combine like terms: -9Q + 9Q = 0
-1596 + 30Q + 6Q2 = 0 + -4Q2 + 4Q2
-1596 + 30Q + 6Q2 = -4Q2 + 4Q2

Combine like terms: -4Q2 + 4Q2 = 0
-1596 + 30Q + 6Q2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-266 + 5Q + Q2) = 0

Factor a trinomial.
6((-19 + -1Q)(14 + -1Q)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-19 + -1Q)' equal to zero and attempt to solve:

Simplifying
-19 + -1Q = 0

Solving
-19 + -1Q = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1Q = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1Q = 0 + 19
-1Q = 0 + 19

Combine like terms: 0 + 19 = 19
-1Q = 19

Divide each side by '-1'.
Q = -19

Simplifying
Q = -19

Subproblem 2
Set the factor '(14 + -1Q)' equal to zero and attempt to solve:

Simplifying
14 + -1Q = 0

Solving
14 + -1Q = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1Q = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1Q = 0 + -14
-1Q = 0 + -14

Combine like terms: 0 + -14 = -14
-1Q = -14

Divide each side by '-1'.
Q = 14

Simplifying
Q = 14
Solution
Q = {-19, 14}

See similar equations:

| 8x+3=a*x+2x+b | | 2cos(2x)+4cos(x)-1=0 | | 8x+3=x+2x+b | | 3x-7=7x-8 | | 4(x-2)+6(x+2)=-26 | | -10=100(k-9) | | 22+3(x-4)=2 | | -3x+10+5x=90 | | .4x+.5y=.6(x+y) | | .6x+.5y=.6(x+y) | | -(2n+4)+6=-9+4(2n+1) | | 9(4+3x)-6(5+4x)=0 | | 19y=1900 | | 48-3y+5y=66 | | 6+6=3 | | (12)(5)n=0 | | -7(1+6n)=-217 | | -3(4r+5)=-99 | | -6(1-2x)=90 | | -7(7-4n)=147 | | 2t+3=4t-2 | | 800/125 | | 7(2n-4)=-140 | | 4x-3(x+16)=7-4(x+2) | | 3=1-8n+2 | | 72+-23+-84= | | 0.75=logQ | | X+7x-8x= | | 96=0.2*x+x | | 5x-7x+14x= | | 2c-c-6=0 | | 172.15=0.2*x+x |

Equations solver categories