(x-4)(x+2)=3(x+2)

Simple and best practice solution for (x-4)(x+2)=3(x+2) 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-4)(x+2)=3(x+2) equation: 


Simplifying
(x + -4)(x + 2) = 3(x + 2)

Reorder the terms:
(-4 + x)(x + 2) = 3(x + 2)

Reorder the terms:
(-4 + x)(2 + x) = 3(x + 2)

Multiply (-4 + x) * (2 + x)
(-4(2 + x) + x(2 + x)) = 3(x + 2)
((2 * -4 + x * -4) + x(2 + x)) = 3(x + 2)
((-8 + -4x) + x(2 + x)) = 3(x + 2)
(-8 + -4x + (2 * x + x * x)) = 3(x + 2)
(-8 + -4x + (2x + x2)) = 3(x + 2)

Combine like terms: -4x + 2x = -2x
(-8 + -2x + x2) = 3(x + 2)

Reorder the terms:
-8 + -2x + x2 = 3(2 + x)
-8 + -2x + x2 = (2 * 3 + x * 3)
-8 + -2x + x2 = (6 + 3x)

Solving
-8 + -2x + x2 = 6 + 3x

Solving for variable 'x'.

Reorder the terms:
-8 + -6 + -2x + -3x + x2 = 6 + 3x + -6 + -3x

Combine like terms: -8 + -6 = -14
-14 + -2x + -3x + x2 = 6 + 3x + -6 + -3x

Combine like terms: -2x + -3x = -5x
-14 + -5x + x2 = 6 + 3x + -6 + -3x

Reorder the terms:
-14 + -5x + x2 = 6 + -6 + 3x + -3x

Combine like terms: 6 + -6 = 0
-14 + -5x + x2 = 0 + 3x + -3x
-14 + -5x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + -5x + x2 = 0

Factor a trinomial.
(-2 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-2, 7}

See similar equations:

| 2-x=3(2x+1)+9 | | x/-2-9=4 | | 9x+36=4*9 | | 14.95+0.13=-15.00+0.39x | | 4(a+6)=7-2a | | 1/9(2x+1)-1/3(2x+4) | | 2a+6=7-2a | | 4+-3=3-t | | 10x-3x-34x= | | 9/10+2/b=3/5 | | 5x+8y/8x-x-7y/4x+3 | | A+3/5/a=2/3 | | 2.85z-8.226=-3.78 | | 2t^2-24=0 | | 6+5x=5-4x | | 2(3x-4.4)=8x-8.8 | | P=2(14)+2(15) | | 2x-11=7-x | | S^5=0 | | 1000r=10000 | | 7000=x*.5*3.5 | | S^7=S^5 | | =a(a-4) | | -(3y+4)-(2y-5)=-5 | | 525.00+0.1x=850 | | 3x-28=-37 | | 5+2m-1=5m+5-2m | | z/7=-21 | | z+36=24 | | 3.5*.5*x=7000 | | -4(2b+4)+(9b+2)=0 | | 2.8q-3.3-4.4q=-2.6q-3.3 |

Equations solver categories