6x^2-x-12=(3x+a)(2x-b)

Simple and best practice solution for 6x^2-x-12=(3x+a)(2x-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 6x^2-x-12=(3x+a)(2x-b) equation:


Simplifying
6x2 + -1x + -12 = (3x + a)(2x + -1b)

Reorder the terms:
-12 + -1x + 6x2 = (3x + a)(2x + -1b)

Reorder the terms:
-12 + -1x + 6x2 = (a + 3x)(2x + -1b)

Reorder the terms:
-12 + -1x + 6x2 = (a + 3x)(-1b + 2x)

Multiply (a + 3x) * (-1b + 2x)
-12 + -1x + 6x2 = (a(-1b + 2x) + 3x * (-1b + 2x))
-12 + -1x + 6x2 = ((-1b * a + 2x * a) + 3x * (-1b + 2x))
-12 + -1x + 6x2 = ((-1ab + 2ax) + 3x * (-1b + 2x))
-12 + -1x + 6x2 = (-1ab + 2ax + (-1b * 3x + 2x * 3x))
-12 + -1x + 6x2 = (-1ab + 2ax + (-3bx + 6x2))
-12 + -1x + 6x2 = (-1ab + 2ax + -3bx + 6x2)

Add '-6x2' to each side of the equation.
-12 + -1x + 6x2 + -6x2 = -1ab + 2ax + -3bx + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-12 + -1x + 0 = -1ab + 2ax + -3bx + 6x2 + -6x2
-12 + -1x = -1ab + 2ax + -3bx + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-12 + -1x = -1ab + 2ax + -3bx + 0
-12 + -1x = -1ab + 2ax + -3bx

Solving
-12 + -1x = -1ab + 2ax + -3bx

Solving for variable 'x'.

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

Add '-2ax' to each side of the equation.
-12 + -2ax + -1x = -1ab + 2ax + -2ax + -3bx

Combine like terms: 2ax + -2ax = 0
-12 + -2ax + -1x = -1ab + 0 + -3bx
-12 + -2ax + -1x = -1ab + -3bx

Add '3bx' to each side of the equation.
-12 + -2ax + 3bx + -1x = -1ab + -3bx + 3bx

Combine like terms: -3bx + 3bx = 0
-12 + -2ax + 3bx + -1x = -1ab + 0
-12 + -2ax + 3bx + -1x = -1ab

Add '12' to each side of the equation.
-12 + -2ax + 3bx + 12 + -1x = 12 + -1ab

Reorder the terms:
-12 + 12 + -2ax + 3bx + -1x = 12 + -1ab

Combine like terms: -12 + 12 = 0
0 + -2ax + 3bx + -1x = 12 + -1ab
-2ax + 3bx + -1x = 12 + -1ab

Reorder the terms:
-12 + ab + -2ax + 3bx + -1x = 12 + -1ab + -12 + ab

Reorder the terms:
-12 + ab + -2ax + 3bx + -1x = 12 + -12 + -1ab + ab

Combine like terms: 12 + -12 = 0
-12 + ab + -2ax + 3bx + -1x = 0 + -1ab + ab
-12 + ab + -2ax + 3bx + -1x = -1ab + ab

Combine like terms: -1ab + ab = 0
-12 + ab + -2ax + 3bx + -1x = 0

The solution to this equation could not be determined.

See similar equations:

| 61x-2=59x+2 | | 3n+75=50 | | 3x^2+8x+7=-8x^2+5 | | 2/3=6 | | 6.24x+36=38.9376+6x | | 0.4(3.2x+2)-x=2x+1.3 | | 25x-20x+4=0 | | 12x+3y=108 | | 3x+9=2(2x-4) | | 9+5v/2=2v-4 | | 8x+6=14+7x | | 3(w+6)-5w=-4 | | -1/6x-6-5 | | 8+x=2x-8 | | 14+7x=8x+6 | | 10-1/2w12 | | -3(a-5)+2(-2-11)=4(5a+7)-5a-1 | | 2.2x+1.5x+x=7 | | x+(x+2800)+(x-3000)=33400 | | 14x-3=11x+8 | | 2x-8=3x+1 | | 3a+12-a=2a+6 | | 5x-7/3=x | | x(x+-2)=x(x+4)+-13 | | 4(6x-9)=31 | | (5x^2+y)(x^2-6y)= | | 123+134=257 | | 9(3x-7)=20 | | f(x)=240-2x^2 | | x(x+-2)=x(x+4)-12 | | 4m+zr=r-7f | | 12.25=-7u |

Equations solver categories