8m+m(m-6)=57-(17-m^2)

Simple and best practice solution for 8m+m(m-6)=57-(17-m^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 8m+m(m-6)=57-(17-m^2) equation: 


Simplifying
8m + m(m + -6) = 57 + -1(17 + -1m2)

Reorder the terms:
8m + m(-6 + m) = 57 + -1(17 + -1m2)
8m + (-6 * m + m * m) = 57 + -1(17 + -1m2)
8m + (-6m + m2) = 57 + -1(17 + -1m2)

Combine like terms: 8m + -6m = 2m
2m + m2 = 57 + -1(17 + -1m2)
2m + m2 = 57 + (17 * -1 + -1m2 * -1)
2m + m2 = 57 + (-17 + 1m2)

Combine like terms: 57 + -17 = 40
2m + m2 = 40 + 1m2

Solving
2m + m2 = 40 + 1m2

Solving for variable 'm'.

Reorder the terms:
-40 + 2m + m2 + -1m2 = 40 + 1m2 + -40 + -1m2

Combine like terms: m2 + -1m2 = 0
-40 + 2m + 0 = 40 + 1m2 + -40 + -1m2
-40 + 2m = 40 + 1m2 + -40 + -1m2

Reorder the terms:
-40 + 2m = 40 + -40 + 1m2 + -1m2

Combine like terms: 40 + -40 = 0
-40 + 2m = 0 + 1m2 + -1m2
-40 + 2m = 1m2 + -1m2

Combine like terms: 1m2 + -1m2 = 0
-40 + 2m = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + m) = 0

Ignore the factor 2.

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

Simplifying
-20 + m = 0

Solving
-20 + m = 0

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

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

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

Combine like terms: 0 + 20 = 20
m = 20

Simplifying
m = 20
Solution
m = {20}

See similar equations:

| -46-(-27)=x/8 | | 19z-5=3+15z | | 5x+15=3x+1 | | 6x-36x^2=0 | | 8=5-3q | | 0=8u-8u | | 41=3(3x+5)-7(2+2x) | | 19z-5=3+15x | | 4x-12y=-40 | | -13.2n=-5.9+16.3n | | 10x+13=5x+138 | | 5x+108=9x-8 | | n/7-5=0 | | 110=180-4x | | 5x(x-2)=3-1(2x-4) | | -5(3x-2)+4(3x-1)-8(4x-5)= | | 8x-155=3x+10 | | 9-5x-7-10x=5 | | -17=8(r-3)+7(1+6r) | | -2(x+2)=-6x-4 | | 10+5q=11+4q | | 2x^4-22x^2-36x-16=0 | | 4z-11-z+5=0 | | 6b-8=16+10b | | (6x+1)=(22-x) | | X+2x+2x-4+3(2x-4)=61 | | 10b+16=6b-8 | | 6=-8(a-7)-7(1+5a) | | 3x-8=x+13 | | 4t-7=5(t+2) | | 3y-4=-20 | | 6x+-14=58 |

Equations solver categories