3x-9=3x(x+2)

Simple and best practice solution for 3x-9=3x(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 3x-9=3x(x+2) equation: 


Simplifying
3x + -9 = 3x(x + 2)

Reorder the terms:
-9 + 3x = 3x(x + 2)

Reorder the terms:
-9 + 3x = 3x(2 + x)
-9 + 3x = (2 * 3x + x * 3x)
-9 + 3x = (6x + 3x2)

Solving
-9 + 3x = 6x + 3x2

Solving for variable 'x'.

Combine like terms: 3x + -6x = -3x
-9 + -3x + -3x2 = 6x + 3x2 + -6x + -3x2

Reorder the terms:
-9 + -3x + -3x2 = 6x + -6x + 3x2 + -3x2

Combine like terms: 6x + -6x = 0
-9 + -3x + -3x2 = 0 + 3x2 + -3x2
-9 + -3x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-9 + -3x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '-3'.
-3(3 + x + x2) = 0

Ignore the factor -3.

Subproblem 1
Set the factor '(3 + x + x2)' equal to zero and attempt to solve:

Simplifying
3 + x + x2 = 0

Solving
3 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + x + x2 = 0 + -3

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

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

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = -3 + 0.25

Reorder the terms:
0.25 + x + x2 = -3 + 0.25

Combine like terms: -3 + 0.25 = -2.75
0.25 + x + x2 = -2.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -2.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 4-6x-10=-40 | | h(x)=-0.1x+2.1 | | -t+(5t+-7)=-5 | | 18/24=6/d | | 7+19.00=29.50 | | -8.4a+-3.3=-5.82 | | f(x)=-x^2-4 | | -89+5x=-3x+95 | | .5n+45=172 | | 6m+5=-5(8m-1)-5m | | 4*x^2-2=0 | | 5/a=9/27 | | (w^2+6w+5)(9w-36)=0 | | -2x-5x+3=24 | | 90=9-9x | | 7.3+-6.6x=-7.22 | | 26-5a=1-6(2a-3) | | X+9=2x+12 | | g(x)=2/3x-1 | | V-6=8 | | T=10xy | | 42-t=16 | | k/6=8=12 | | -89+5x=-3+95 | | 7x-8=7(x-4) | | -3x-11=26 | | 25+10x=30+7.50x | | 5(2x+6)=-4(-5+-2)+3x | | (d)+(d+5)+(d-10)+(2d)+(d-10).5=111 | | (2y-3x)(5y-2x)= | | 6(4n+6)-6(-5-2n)=-6 | | g,2=4/49 |

Equations solver categories