x^2+10x+24=(x+a)(x+b)

Simple and best practice solution for x^2+10x+24=(x+a)(x+b) 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+10x+24=(x+a)(x+b) equation: 


Simplifying
x2 + 10x + 24 = (x + a)(x + b)

Reorder the terms:
24 + 10x + x2 = (x + a)(x + b)

Reorder the terms:
24 + 10x + x2 = (a + x)(x + b)

Reorder the terms:
24 + 10x + x2 = (a + x)(b + x)

Multiply (a + x) * (b + x)
24 + 10x + x2 = (a(b + x) + x(b + x))
24 + 10x + x2 = ((b * a + x * a) + x(b + x))
24 + 10x + x2 = ((ab + ax) + x(b + x))
24 + 10x + x2 = (ab + ax + (b * x + x * x))
24 + 10x + x2 = (ab + ax + (bx + x2))
24 + 10x + x2 = (ab + ax + bx + x2)

Add '-1x2' to each side of the equation.
24 + 10x + x2 + -1x2 = ab + ax + bx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
24 + 10x + 0 = ab + ax + bx + x2 + -1x2
24 + 10x = ab + ax + bx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
24 + 10x = ab + ax + bx + 0
24 + 10x = ab + ax + bx

Solving
24 + 10x = ab + ax + bx

Solving for variable 'x'.

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

Add '-1ax' to each side of the equation.
24 + -1ax + 10x = ab + ax + -1ax + bx

Combine like terms: ax + -1ax = 0
24 + -1ax + 10x = ab + 0 + bx
24 + -1ax + 10x = ab + bx

Add '-1bx' to each side of the equation.
24 + -1ax + -1bx + 10x = ab + bx + -1bx

Combine like terms: bx + -1bx = 0
24 + -1ax + -1bx + 10x = ab + 0
24 + -1ax + -1bx + 10x = ab

Add '-24' to each side of the equation.
24 + -1ax + -1bx + -24 + 10x = -24 + ab

Reorder the terms:
24 + -24 + -1ax + -1bx + 10x = -24 + ab

Combine like terms: 24 + -24 = 0
0 + -1ax + -1bx + 10x = -24 + ab
-1ax + -1bx + 10x = -24 + ab

Reorder the terms:
24 + -1ab + -1ax + -1bx + 10x = -24 + ab + 24 + -1ab

Reorder the terms:
24 + -1ab + -1ax + -1bx + 10x = -24 + 24 + ab + -1ab

Combine like terms: -24 + 24 = 0
24 + -1ab + -1ax + -1bx + 10x = 0 + ab + -1ab
24 + -1ab + -1ax + -1bx + 10x = ab + -1ab

Combine like terms: ab + -1ab = 0
24 + -1ab + -1ax + -1bx + 10x = 0

The solution to this equation could not be determined.

See similar equations:

| 50v^4-98=0 | | 1/4n=14 | | (X+3)(x-1)=77 | | -57=6-7z | | 4y+3y=8 | | 10-19= | | -42+62= | | (3k-7)/5=16 | | 12-c=17 | | 24+(-13)= | | -18a-1=71 | | 2v-v-10=(v+2) | | 41+p+16=9 | | 8log(2x+4)=16 | | -7y+6=13 | | -2(z+3)-2z+21=-3(z-5)-z | | 2x^3+15x^2+x-42=0 | | 12+(-18)= | | 24=3+7a | | 7-3x=-c+1 | | -7-2/3=49 | | 7y+1=22 | | 5y^2-3y+2=0 | | -8=d-7 | | 1.5x+3y=9 | | 1/2(y)-(1/8)=7/8 | | -9+18= | | 0.05(x+10)=.95 | | 3x+5-(2x-6)=13 | | 5z-2=48 | | 1-4p^4=0 | | -9x-2(2x-5)=-4x-3(6x+8) |

Equations solver categories