x^2+8x+12=(x+m)(x+n)

Simple and best practice solution for x^2+8x+12=(x+m)(x+n) 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 x^2+8x+12=(x+m)(x+n) equation: 


Simplifying
x2 + 8x + 12 = (x + m)(x + n)

Reorder the terms:
12 + 8x + x2 = (x + m)(x + n)

Reorder the terms:
12 + 8x + x2 = (m + x)(x + n)

Reorder the terms:
12 + 8x + x2 = (m + x)(n + x)

Multiply (m + x) * (n + x)
12 + 8x + x2 = (m(n + x) + x(n + x))
12 + 8x + x2 = ((n * m + x * m) + x(n + x))
12 + 8x + x2 = ((mn + mx) + x(n + x))
12 + 8x + x2 = (mn + mx + (n * x + x * x))
12 + 8x + x2 = (mn + mx + (nx + x2))
12 + 8x + x2 = (mn + mx + nx + x2)

Add '-1x2' to each side of the equation.
12 + 8x + x2 + -1x2 = mn + mx + nx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12 + 8x + 0 = mn + mx + nx + x2 + -1x2
12 + 8x = mn + mx + nx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12 + 8x = mn + mx + nx + 0
12 + 8x = mn + mx + nx

Solving
12 + 8x = mn + mx + nx

Solving for variable 'x'.

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

Add '-1mx' to each side of the equation.
12 + -1mx + 8x = mn + mx + -1mx + nx

Combine like terms: mx + -1mx = 0
12 + -1mx + 8x = mn + 0 + nx
12 + -1mx + 8x = mn + nx

Add '-1nx' to each side of the equation.
12 + -1mx + -1nx + 8x = mn + nx + -1nx

Combine like terms: nx + -1nx = 0
12 + -1mx + -1nx + 8x = mn + 0
12 + -1mx + -1nx + 8x = mn

Add '-12' to each side of the equation.
12 + -1mx + -1nx + -12 + 8x = -12 + mn

Reorder the terms:
12 + -12 + -1mx + -1nx + 8x = -12 + mn

Combine like terms: 12 + -12 = 0
0 + -1mx + -1nx + 8x = -12 + mn
-1mx + -1nx + 8x = -12 + mn

Reorder the terms:
12 + -1mn + -1mx + -1nx + 8x = -12 + mn + 12 + -1mn

Reorder the terms:
12 + -1mn + -1mx + -1nx + 8x = -12 + 12 + mn + -1mn

Combine like terms: -12 + 12 = 0
12 + -1mn + -1mx + -1nx + 8x = 0 + mn + -1mn
12 + -1mn + -1mx + -1nx + 8x = mn + -1mn

Combine like terms: mn + -1mn = 0
12 + -1mn + -1mx + -1nx + 8x = 0

The solution to this equation could not be determined.

See similar equations:

| x^2+3x+20=180 | | 7x-10=5(x-2) | | 7=(5+a) | | 4x^2+-4x-1=0 | | 75=-3(m+7)+m | | 7=(5+a)*4 | | (x-4)(x+7)=80 | | 54.9=d-7 | | 5(-10-7x)=300 | | h/6 | | 6=0.5(8)+b | | 1-6b=7-2(4b-2) | | (8x-3)(8x+3)=0 | | 3/-12= | | a-16=-26 | | 0--12= | | -4(x-5)=17 | | -8--5= | | k-0.4=0 | | k-0.4=o | | 9.2=5.7+h*6+0.4 | | -4x-5=17 | | 4n+68=7-2(n-2) | | 14k-7=6 | | .10-3x=x-2 | | g/7-6=-4 | | 3x+-6x+22=7 | | k-10= | | P=a+9+c | | p-5.9=15 | | 5(-1x-10)=-30 | | 14k-12-5=6 |

Equations solver categories