(x+6)(x-2)=3(x+0)

Simple and best practice solution for (x+6)(x-2)=3(x+0) 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)(x-2)=3(x+0) equation: 


Simplifying
(x + 6)(x + -2) = 3(x + 0)

Reorder the terms:
(6 + x)(x + -2) = 3(x + 0)

Reorder the terms:
(6 + x)(-2 + x) = 3(x + 0)

Multiply (6 + x) * (-2 + x)
(6(-2 + x) + x(-2 + x)) = 3(x + 0)
((-2 * 6 + x * 6) + x(-2 + x)) = 3(x + 0)
((-12 + 6x) + x(-2 + x)) = 3(x + 0)
(-12 + 6x + (-2 * x + x * x)) = 3(x + 0)
(-12 + 6x + (-2x + x2)) = 3(x + 0)

Combine like terms: 6x + -2x = 4x
(-12 + 4x + x2) = 3(x + 0)

Reorder the terms:
-12 + 4x + x2 = 3(0 + x)
Remove the zero:
-12 + 4x + x2 = 3(x)

Solving
-12 + 4x + x2 = 3x

Solving for variable 'x'.

Reorder the terms:
-12 + 4x + -3x + x2 = 3x + -3x

Combine like terms: 4x + -3x = 1x
-12 + 1x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 1x + x2 = 0

Factor a trinomial.
(-4 + -1x)(3 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-4, 3}

See similar equations:

| 1.1y+0.3x= | | 6x+5y+4z=15 | | Y=27+9x | | 8x^2+4y+5=0 | | 49/0.25 | | 4t=(200+n-4) | | (6x+18)=(2x+26) | | a(x+b)+x(b-a)=ab(2a-x) | | 8X*4=0.25 | | 3(x+5)=4x(4+8) | | 0.67x+y=-5 | | 8e=2e-12 | | (3/2)*x | | 4x-y+6=9 | | 6=5x-9+c | | x+1.2y=12.4 | | 8(m+7)=16 | | -11x-8=36 | | x=25-y/4 | | 2(x-8)-5x=-7 | | 11=-4y+15 | | -2(t+8)= | | -4y+26=6(y-4) | | 10x-5(2x+1)=2(3x-6)-7x | | -4=4(w+3)-6w | | 5b=27 | | -30+2x=-x+18 | | 2(x-4)+5x-9=8 | | -21+9x=11x+27 | | 6x-30=2x+62 | | 3(4-r)= | | 7x+13=-6 |

Equations solver categories