(x-6)*(4x+3)=(x-12)*(3x+4)

Simple and best practice solution for (x-6)*(4x+3)=(x-12)*(3x+4) 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-6)*(4x+3)=(x-12)*(3x+4) equation: 


Simplifying
(x + -6)(4x + 3) = (x + -12)(3x + 4)

Reorder the terms:
(-6 + x)(4x + 3) = (x + -12)(3x + 4)

Reorder the terms:
(-6 + x)(3 + 4x) = (x + -12)(3x + 4)

Multiply (-6 + x) * (3 + 4x)
(-6(3 + 4x) + x(3 + 4x)) = (x + -12)(3x + 4)
((3 * -6 + 4x * -6) + x(3 + 4x)) = (x + -12)(3x + 4)
((-18 + -24x) + x(3 + 4x)) = (x + -12)(3x + 4)
(-18 + -24x + (3 * x + 4x * x)) = (x + -12)(3x + 4)
(-18 + -24x + (3x + 4x2)) = (x + -12)(3x + 4)

Combine like terms: -24x + 3x = -21x
(-18 + -21x + 4x2) = (x + -12)(3x + 4)

Reorder the terms:
-18 + -21x + 4x2 = (-12 + x)(3x + 4)

Reorder the terms:
-18 + -21x + 4x2 = (-12 + x)(4 + 3x)

Multiply (-12 + x) * (4 + 3x)
-18 + -21x + 4x2 = (-12(4 + 3x) + x(4 + 3x))
-18 + -21x + 4x2 = ((4 * -12 + 3x * -12) + x(4 + 3x))
-18 + -21x + 4x2 = ((-48 + -36x) + x(4 + 3x))
-18 + -21x + 4x2 = (-48 + -36x + (4 * x + 3x * x))
-18 + -21x + 4x2 = (-48 + -36x + (4x + 3x2))

Combine like terms: -36x + 4x = -32x
-18 + -21x + 4x2 = (-48 + -32x + 3x2)

Solving
-18 + -21x + 4x2 = -48 + -32x + 3x2

Solving for variable 'x'.

Reorder the terms:
-18 + 48 + -21x + 32x + 4x2 + -3x2 = -48 + -32x + 3x2 + 48 + 32x + -3x2

Combine like terms: -18 + 48 = 30
30 + -21x + 32x + 4x2 + -3x2 = -48 + -32x + 3x2 + 48 + 32x + -3x2

Combine like terms: -21x + 32x = 11x
30 + 11x + 4x2 + -3x2 = -48 + -32x + 3x2 + 48 + 32x + -3x2

Combine like terms: 4x2 + -3x2 = 1x2
30 + 11x + 1x2 = -48 + -32x + 3x2 + 48 + 32x + -3x2

Reorder the terms:
30 + 11x + 1x2 = -48 + 48 + -32x + 32x + 3x2 + -3x2

Combine like terms: -48 + 48 = 0
30 + 11x + 1x2 = 0 + -32x + 32x + 3x2 + -3x2
30 + 11x + 1x2 = -32x + 32x + 3x2 + -3x2

Combine like terms: -32x + 32x = 0
30 + 11x + 1x2 = 0 + 3x2 + -3x2
30 + 11x + 1x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
30 + 11x + 1x2 = 0

Factor a trinomial.
(6 + x)(5 + x) = 0


Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6

Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

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

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {-6, -5}

See similar equations:

| 8c+10=8c+10 | | 6ab+2cd-5ef= | | 1x+4x=34+x | | 0.3x-0.05(x+2)=2.06 | | 9*64*20= | | (x+1)*(x-1)=(x-3)*(x+5) | | 0.2(7.2-6)+0.05x=0.6 | | 0.2(7.2-6)+0.05x=x | | 5x+27=42 | | 9a-13b-8a+14b= | | (1/2*x)+(1/6*x)+x=75 | | 0.6(138+7)-0.5x=x | | (x+9)(x+8)=0 | | 10xy-7yx-xy= | | 1/3d=66 | | 0.6(138+7)-0.5x=18 | | fg+7fg-5gf= | | (2/5*x)+x=28 | | x/5+9=6 | | 6ab+3bc= | | 3x+7y=27 | | 18x+15=9x+50 | | (3*x)-x=38 | | 0.6(x+7)-0.5x=18 | | 3(x+2x)-6=30 | | 1/2(5+5)=7.5 | | 10x^2-5x(2x-3)=15 | | 34x=70 | | 11x=5x+24 | | 8.1a+11=92 | | 6/9+6/9 | | 27x=135 |

Equations solver categories