(m-3)(m-3)=25

Simple and best practice solution for (m-3)(m-3)=25 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-3)(m-3)=25 equation: 


Simplifying
(m + -3)(m + -3) = 25

Reorder the terms:
(-3 + m)(m + -3) = 25

Reorder the terms:
(-3 + m)(-3 + m) = 25

Multiply (-3 + m) * (-3 + m)
(-3(-3 + m) + m(-3 + m)) = 25
((-3 * -3 + m * -3) + m(-3 + m)) = 25
((9 + -3m) + m(-3 + m)) = 25
(9 + -3m + (-3 * m + m * m)) = 25
(9 + -3m + (-3m + m2)) = 25

Combine like terms: -3m + -3m = -6m
(9 + -6m + m2) = 25

Solving
9 + -6m + m2 = 25

Solving for variable 'm'.

Reorder the terms:
9 + -25 + -6m + m2 = 25 + -25

Combine like terms: 9 + -25 = -16
-16 + -6m + m2 = 25 + -25

Combine like terms: 25 + -25 = 0
-16 + -6m + m2 = 0

Factor a trinomial.
(-2 + -1m)(8 + -1m) = 0


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

Simplifying
-2 + -1m = 0

Solving
-2 + -1m = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1m = 0 + 2

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

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

Divide each side by '-1'.
m = -2

Simplifying
m = -2

Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve:

Simplifying
8 + -1m = 0

Solving
8 + -1m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = 0 + -8
-1m = 0 + -8

Combine like terms: 0 + -8 = -8
-1m = -8

Divide each side by '-1'.
m = 8

Simplifying
m = 8
Solution
m = {-2, 8}

See similar equations:

| 6m^2+7mn+n^2=0 | | 65+20y+4x^2+4y^2=28x | | 1z+5=-21 | | 3x/x-2-4=14-4x/x-2 | | 3y^2+2yz-z^2=0 | | m/3(m+1)=3 | | -9+3n+10y-8y-6n+15= | | 4x^2/25*25/x^2 | | 22b+10=98 | | 2.50a+2.00=14.50 | | 2.50+2.00=14.50 | | x+63=180 | | s=20+0.5t | | 45h+44=179 | | 1/f=1/a+1/b | | 10p/3=-4 | | 8.95r+1.50=26.05 | | 6(n+75)+9n=1725 | | 21(3n)+21n=84 | | 6(n+75)9n=1725 | | 2(n+85)+(3n)=1345 | | 3(p-3)=35 | | 2(n+85)-3n=1345 | | 3(n+6)+5n=170 | | 12(20b)+13b=1265 | | 7(m+3)-6m=3(m+3) | | -10-20(y-15)=-4y-(y-5) | | -30(y-15)=-4+y-(y-5) | | 8=9x | | 7(x-19)=7.3 | | (-99)x=8 | | -3(m-10)-2(m+4)=-2+6m-(m+16) |

Equations solver categories