x^2+6x=3x+18

Simple and best practice solution for x^2+6x=3x+18 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+6x=3x+18 equation: 


Simplifying
x2 + 6x = 3x + 18

Reorder the terms:
6x + x2 = 3x + 18

Reorder the terms:
6x + x2 = 18 + 3x

Solving
6x + x2 = 18 + 3x

Solving for variable 'x'.

Reorder the terms:
-18 + 6x + -3x + x2 = 18 + 3x + -18 + -3x

Combine like terms: 6x + -3x = 3x
-18 + 3x + x2 = 18 + 3x + -18 + -3x

Reorder the terms:
-18 + 3x + x2 = 18 + -18 + 3x + -3x

Combine like terms: 18 + -18 = 0
-18 + 3x + x2 = 0 + 3x + -3x
-18 + 3x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + 3x + x2 = 0

Factor a trinomial.
(-6 + -1x)(3 + -1x) = 0


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

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 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 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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 = {-6, 3}

See similar equations:

| 4p/6+27=39 | | 5d+0= | | x+14-2x-10=x+8-x-14 | | (2w-3)(w)-90=0 | | 3p/5+8/5=1 | | 3x+11=-5x-13 | | ln(x+4)+ln(x-4)=9t | | X-3x-6=0 | | 2x(7+3)= | | y-48=7y | | 8=-d+16 | | x^4-3x^2+4=0 | | ((2w)-3)(w)-90=0 | | 3p^2-12p-20=0 | | 2.(7+3)= | | -49x^2+28x-4=0 | | (az^2)*(0+1*a)=(72361*1*1*z^2*1*1*1*1*0)+72361z^2 | | 3(8-w)-9=5w-5(3w-6) | | 9d+2d-9-5d=0 | | (2a+3b)(5c-d)=0 | | 1=5p+3-4p | | 7x^2+19x+5=0 | | 5x+8-6x=6 | | az+s=sz-a | | 72=-8(-6-3z) | | 2.7x-1.9=3.5 | | 4.4x+3.6=16.8 | | x+y+z=1+x+y+z-2c+c-c+c-c+c-c+c | | xz+y=yz+x | | -7(x+6)-45=2-40 | | x-a+b=a-b+x | | 0=(b-8)(b-8)+(b^2)-1600 |

Equations solver categories