m(50-m)+(50-m)m=1050

Simple and best practice solution for m(50-m)+(50-m)m=1050 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 m(50-m)+(50-m)m=1050 equation: 


Simplifying
m(50 + -1m) + (50 + -1m) * m = 1050
(50 * m + -1m * m) + (50 + -1m) * m = 1050
(50m + -1m2) + (50 + -1m) * m = 1050

Reorder the terms for easier multiplication:
50m + -1m2 + m(50 + -1m) = 1050
50m + -1m2 + (50 * m + -1m * m) = 1050
50m + -1m2 + (50m + -1m2) = 1050

Reorder the terms:
50m + 50m + -1m2 + -1m2 = 1050

Combine like terms: 50m + 50m = 100m
100m + -1m2 + -1m2 = 1050

Combine like terms: -1m2 + -1m2 = -2m2
100m + -2m2 = 1050

Solving
100m + -2m2 = 1050

Solving for variable 'm'.

Reorder the terms:
-1050 + 100m + -2m2 = 1050 + -1050

Combine like terms: 1050 + -1050 = 0
-1050 + 100m + -2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-525 + 50m + -1m2) = 0

Factor a trinomial.
2((-35 + m)(15 + -1m)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-35 + m)' equal to zero and attempt to solve:

Simplifying
-35 + m = 0

Solving
-35 + m = 0

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

Add '35' to each side of the equation.
-35 + 35 + m = 0 + 35

Combine like terms: -35 + 35 = 0
0 + m = 0 + 35
m = 0 + 35

Combine like terms: 0 + 35 = 35
m = 35

Simplifying
m = 35

Subproblem 2
Set the factor '(15 + -1m)' equal to zero and attempt to solve:

Simplifying
15 + -1m = 0

Solving
15 + -1m = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1m = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1m = 0 + -15
-1m = 0 + -15

Combine like terms: 0 + -15 = -15
-1m = -15

Divide each side by '-1'.
m = 15

Simplifying
m = 15
Solution
m = {35, 15}

See similar equations:

| 0=r^2-134.56 | | -x-9=475 | | -(5x+12)-3=5(-x-3) | | -0.4x^2+40x-360=0 | | 5/7x=-8 | | 1.5+3.5= | | 7c-27=10 | | 4y-2(y+4)= | | f(x)=2xf(3) | | 725=y-363 | | -20+x=8(x) | | 0=r^2-846.81 | | z+(z+1)+(z+2)+(z+3)+(z+4)=60 | | 0=r^2-806.56 | | 84=6m | | 8x^2-18=2(2x-3)(2x+3) | | -6x+57=-59 | | 2t^2+90t+1000=0 | | 7x-17-6x=19 | | -z-2=2z | | 6r^2=84r-294 | | w^3+ 10= 11 | | 3.5(y^2+4y-5)+2.4y^2+4.6= | | 3x^2-4y^2=-1 | | 3x^2+77n-6500=0 | | 2x+9=61-2x | | X^2+90x+1000=0 | | 2x^2+3y^2=5 | | -40+5x=-5(2-7x) | | 3-(4a-7)=6-5(12-8a) | | -6=(w+5) | | x^2+4x-8.25=0 |

Equations solver categories