-3m^2-60m-99=0

Simple and best practice solution for -3m^2-60m-99=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^2-60m-99=0 equation: 


Simplifying
-3m2 + -60m + -99 = 0

Reorder the terms:
-99 + -60m + -3m2 = 0

Solving
-99 + -60m + -3m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(33 + 20m + m2) = 0

Ignore the factor -3.

Subproblem 1
Set the factor '(33 + 20m + m2)' equal to zero and attempt to solve:

Simplifying
33 + 20m + m2 = 0

Solving
33 + 20m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-33' to each side of the equation.
33 + 20m + -33 + m2 = 0 + -33

Reorder the terms:
33 + -33 + 20m + m2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 20m + m2 = 0 + -33
20m + m2 = 0 + -33

Combine like terms: 0 + -33 = -33
20m + m2 = -33

The m term is 20m.  Take half its coefficient (10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
20m + 100 + m2 = -33 + 100

Reorder the terms:
100 + 20m + m2 = -33 + 100

Combine like terms: -33 + 100 = 67
100 + 20m + m2 = 67

Factor a perfect square on the left side:
(m + 10)(m + 10) = 67

Calculate the square root of the right side: 8.185352772

Break this problem into two subproblems by setting 
(m + 10) equal to 8.185352772 and -8.185352772.


Subproblem 1
m + 10 = 8.185352772

Simplifying
m + 10 = 8.185352772

Reorder the terms:
10 + m = 8.185352772

Solving
10 + m = 8.185352772

Solving for variable 'm'.

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

Add '-10' to each side of the equation.
10 + -10 + m = 8.185352772 + -10

Combine like terms: 10 + -10 = 0
0 + m = 8.185352772 + -10
m = 8.185352772 + -10

Combine like terms: 8.185352772 + -10 = -1.814647228
m = -1.814647228

Simplifying
m = -1.814647228


Subproblem 2
m + 10 = -8.185352772

Simplifying
m + 10 = -8.185352772

Reorder the terms:
10 + m = -8.185352772

Solving
10 + m = -8.185352772

Solving for variable 'm'.

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

Add '-10' to each side of the equation.
10 + -10 + m = -8.185352772 + -10

Combine like terms: 10 + -10 = 0
0 + m = -8.185352772 + -10
m = -8.185352772 + -10

Combine like terms: -8.185352772 + -10 = -18.185352772
m = -18.185352772

Simplifying
m = -18.185352772


Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {-1.814647228, -18.185352772}
Solution
m = {-1.814647228, -18.185352772}

See similar equations:

| -3(4x-7)=9 | | (8x-67)+(9x-75)=96 | | -16x^2-12x+15=0 | | 4x+1x-8=0 | | (3x+9)(x-8)=0 | | 110+35+3h+2=180 | | 3/8p=24 | | (2x+33)+(3x+20)=113 | | -2x-5=-3x-7 | | 43=y | | 4.2m=12.6 | | 9-28x+32x=x-3 | | Y-10=7(X-2) | | 9×1/4= | | x/1.3=26 | | -8y=16/19 | | 32x^2+100x+63=0 | | -40-6= | | r^2-10r=13 | | (20+2x)(40+2x)=1500 | | 3xy^2(x-y)-10x^2y^2+12xy^3= | | 9×1/4 | | 0.9x+0.1(2000-x)=191 | | B=4x+10 | | 5(x+1)-x=4x+1 | | 7x+2-2x=32 | | 2x+x+3=x | | (4-y)(4+y)= | | 5y(4y+2)=148 | | 2x^2+52x+62=0 | | 11=4r-41 | | X/8=168 |

Equations solver categories