3m^2-16m-21=0

Simple and best practice solution for 3m^2-16m-21=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 3m^2-16m-21=0 equation: 


Simplifying
3m2 + -16m + -21 = 0

Reorder the terms:
-21 + -16m + 3m2 = 0

Solving
-21 + -16m + 3m2 = 0

Solving for variable 'm'.

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

Divide each side by '3'.
-7 + -5.333333333m + m2 = 0

Move the constant term to the right:

Add '7' to each side of the equation.
-7 + -5.333333333m + 7 + m2 = 0 + 7

Reorder the terms:
-7 + 7 + -5.333333333m + m2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5.333333333m + m2 = 0 + 7
-5.333333333m + m2 = 0 + 7

Combine like terms: 0 + 7 = 7
-5.333333333m + m2 = 7

The m term is -5.333333333m.  Take half its coefficient (-2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
-5.333333333m + 7.111111113 + m2 = 7 + 7.111111113

Reorder the terms:
7.111111113 + -5.333333333m + m2 = 7 + 7.111111113

Combine like terms: 7 + 7.111111113 = 14.111111113
7.111111113 + -5.333333333m + m2 = 14.111111113

Factor a perfect square on the left side:
(m + -2.666666667)(m + -2.666666667) = 14.111111113

Calculate the square root of the right side: 3.75647589

Break this problem into two subproblems by setting 
(m + -2.666666667) equal to 3.75647589 and -3.75647589.


Subproblem 1
m + -2.666666667 = 3.75647589

Simplifying
m + -2.666666667 = 3.75647589

Reorder the terms:
-2.666666667 + m = 3.75647589

Solving
-2.666666667 + m = 3.75647589

Solving for variable 'm'.

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

Add '2.666666667' to each side of the equation.
-2.666666667 + 2.666666667 + m = 3.75647589 + 2.666666667

Combine like terms: -2.666666667 + 2.666666667 = 0.000000000
0.000000000 + m = 3.75647589 + 2.666666667
m = 3.75647589 + 2.666666667

Combine like terms: 3.75647589 + 2.666666667 = 6.423142557
m = 6.423142557

Simplifying
m = 6.423142557


Subproblem 2
m + -2.666666667 = -3.75647589

Simplifying
m + -2.666666667 = -3.75647589

Reorder the terms:
-2.666666667 + m = -3.75647589

Solving
-2.666666667 + m = -3.75647589

Solving for variable 'm'.

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

Add '2.666666667' to each side of the equation.
-2.666666667 + 2.666666667 + m = -3.75647589 + 2.666666667

Combine like terms: -2.666666667 + 2.666666667 = 0.000000000
0.000000000 + m = -3.75647589 + 2.666666667
m = -3.75647589 + 2.666666667

Combine like terms: -3.75647589 + 2.666666667 = -1.089809223
m = -1.089809223

Simplifying
m = -1.089809223


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {6.423142557, -1.089809223}

See similar equations:

| 12t(7-3t)=-8t-30 | | 16-15t+20=16t+88 | | y=78 | | -13*x+20=-11*x+38 | | 3(2n-5)-8=-(4n+3) | | e-0.76=2809 | | 6w-25=1 | | (2x-3)(x+1)= | | -7u--17=-10 | | y^2=78 | | 2p-8=-(p+2) | | 784=0.5(7)h | | y+6/2=0 | | 4y+ax=b+8ysolvex | | 15(-6)+24=80+24(-6)-2 | | -9(v+2)+3v+5=6v+11 | | 3v^2-16=22v | | y-2=2(x+1)*2 | | G=64/49 | | 200*.25= | | 3x^2-39x^4+108x^2=0 | | 5(2-3m)=-40-5m | | x*.25-150=350 | | 14.95+.013x=50 | | 2x^4=8x^2 | | 2e^5x=7 | | f(x)=3+3 | | -x+4x=2y | | 8=15 | | 0.40x+0.15(80)=0.20(36) | | f(3)=3+3 | | 4-2(-4-6v)=7v+27 |

Equations solver categories