(m+4)(m+3)=22+10m

Simple and best practice solution for (m+4)(m+3)=22+10m 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+4)(m+3)=22+10m equation: 


Simplifying
(m + 4)(m + 3) = 22 + 10m

Reorder the terms:
(4 + m)(m + 3) = 22 + 10m

Reorder the terms:
(4 + m)(3 + m) = 22 + 10m

Multiply (4 + m) * (3 + m)
(4(3 + m) + m(3 + m)) = 22 + 10m
((3 * 4 + m * 4) + m(3 + m)) = 22 + 10m
((12 + 4m) + m(3 + m)) = 22 + 10m
(12 + 4m + (3 * m + m * m)) = 22 + 10m
(12 + 4m + (3m + m2)) = 22 + 10m

Combine like terms: 4m + 3m = 7m
(12 + 7m + m2) = 22 + 10m

Solving
12 + 7m + m2 = 22 + 10m

Solving for variable 'm'.

Reorder the terms:
12 + -22 + 7m + -10m + m2 = 22 + 10m + -22 + -10m

Combine like terms: 12 + -22 = -10
-10 + 7m + -10m + m2 = 22 + 10m + -22 + -10m

Combine like terms: 7m + -10m = -3m
-10 + -3m + m2 = 22 + 10m + -22 + -10m

Reorder the terms:
-10 + -3m + m2 = 22 + -22 + 10m + -10m

Combine like terms: 22 + -22 = 0
-10 + -3m + m2 = 0 + 10m + -10m
-10 + -3m + m2 = 10m + -10m

Combine like terms: 10m + -10m = 0
-10 + -3m + m2 = 0

Factor a trinomial.
(-2 + -1m)(5 + -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 '(5 + -1m)' equal to zero and attempt to solve:

Simplifying
5 + -1m = 0

Solving
5 + -1m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 0 + -5
-1m = 0 + -5

Combine like terms: 0 + -5 = -5
-1m = -5

Divide each side by '-1'.
m = 5

Simplifying
m = 5
Solution
m = {-2, 5}

See similar equations:

| 4x^2-32xy+60y^2=0 | | 4x+5+90=180 | | 6x-2+108+38=180 | | 90-(8x-20)=x | | 4u^2-56uv+180v^2=0 | | 6x-8y=-15 | | 5x+12+6x-10= | | (n-4)(n-5)(n-6)(n-7)(n-8)(n-9)(n-10)(n-1)(n-2)(n-3)=0 | | 2x^2-8xy=0 | | 3s^2+8s=2s-9 | | 3x^2+21xy=0 | | 10x^2-6=12x | | A^2+ab-42b^2=0 | | 3x^2+15xy-42y^2=0 | | (-2ab)*(-8ab)= | | 3(8y+9)=-32 | | X*4+7=x*8+2 | | -x^2-4x+5= | | M^2-2mn-48n^2=0 | | 7a+6-5a=-27 | | 3x+1+82=180 | | 21=-2z+7z | | 3n^2+13n+4= | | 6x+3y=3807 | | 22x-17=12x+3 | | 12m+13m+m^2=0 | | 5+2.1666x=24.5 | | 5a^2-8a-4= | | -2x+7y=17 | | 19=2(3s+5) | | Y=x+4.5intableformy | | 5+2.166x=11.5 |

Equations solver categories