3x(2+x)=(3x-2)-24

Simple and best practice solution for 3x(2+x)=(3x-2)-24 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(2+x)=(3x-2)-24 equation: 


Simplifying
3x(2 + x) = (3x + -2) + -24
(2 * 3x + x * 3x) = (3x + -2) + -24
(6x + 3x2) = (3x + -2) + -24

Reorder the terms:
6x + 3x2 = (-2 + 3x) + -24

Remove parenthesis around (-2 + 3x)
6x + 3x2 = -2 + 3x + -24

Reorder the terms:
6x + 3x2 = -2 + -24 + 3x

Combine like terms: -2 + -24 = -26
6x + 3x2 = -26 + 3x

Solving
6x + 3x2 = -26 + 3x

Solving for variable 'x'.

Reorder the terms:
26 + 6x + -3x + 3x2 = -26 + 3x + 26 + -3x

Combine like terms: 6x + -3x = 3x
26 + 3x + 3x2 = -26 + 3x + 26 + -3x

Reorder the terms:
26 + 3x + 3x2 = -26 + 26 + 3x + -3x

Combine like terms: -26 + 26 = 0
26 + 3x + 3x2 = 0 + 3x + -3x
26 + 3x + 3x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
26 + 3x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
8.666666667 + x + x2 = 0

Move the constant term to the right:

Add '-8.666666667' to each side of the equation.
8.666666667 + x + -8.666666667 + x2 = 0 + -8.666666667

Reorder the terms:
8.666666667 + -8.666666667 + x + x2 = 0 + -8.666666667

Combine like terms: 8.666666667 + -8.666666667 = 0.000000000
0.000000000 + x + x2 = 0 + -8.666666667
x + x2 = 0 + -8.666666667

Combine like terms: 0 + -8.666666667 = -8.666666667
x + x2 = -8.666666667

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.
 + 0.25 + x2 = -8.666666667 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -8.666666667 + 0.25

Combine like terms: -8.666666667 + 0.25 = -8.416666667
1.25 + x2 = -8.416666667

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -8.416666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4x-x+4=2x-3 | | 10n-2=9n+9 | | f/6+13=17 | | x+(-19)=41 | | 7-7x-5-8x= | | 6x+9y=-14 | | 8c+9=121 | | 525.00+.21x=585.00+.13x | | 24x^2-82x+63=0 | | x+x-3+8=7x+1 | | 525.00+.21x=850.00 | | 2g-3=25 | | 4x-7=-1 | | 525.00+.21x=820.00 | | 4m-32=57 | | 15x^3=5x | | 8k-5=32 | | 2x=7x-3 | | (x+1.7)(x+2.3)=0 | | 6x+5=-61 | | 22+t=-175 | | -12x=240 | | 2y/y-1=5/3 | | 5(2x-9)+6x=3(2x-4)+7 | | 5x(2x-9)+6x=3(2x-4)+7 | | x(-9)=-288 | | x(-9)=288 | | 12x=-108 | | 10x=-80 | | -92-x=84-12x | | -36+t=27 | | -39+9x=81+5x |

Equations solver categories