-6x(-3x+3)=24

Simple and best practice solution for -6x(-3x+3)=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 -6x(-3x+3)=24 equation: 


Simplifying
-6x(-3x + 3) = 24

Reorder the terms:
-6x(3 + -3x) = 24
(3 * -6x + -3x * -6x) = 24
(-18x + 18x2) = 24

Solving
-18x + 18x2 = 24

Solving for variable 'x'.

Reorder the terms:
-24 + -18x + 18x2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + -18x + 18x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-4 + -3x + 3x2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-4 + -3x + 3x2)' equal to zero and attempt to solve:

Simplifying
-4 + -3x + 3x2 = 0

Solving
-4 + -3x + 3x2 = 0

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

Divide each side by '3'.
-1.333333333 + -1x + x2 = 0

Move the constant term to the right:

Add '1.333333333' to each side of the equation.
-1.333333333 + -1x + 1.333333333 + x2 = 0 + 1.333333333

Reorder the terms:
-1.333333333 + 1.333333333 + -1x + x2 = 0 + 1.333333333

Combine like terms: -1.333333333 + 1.333333333 = 0.000000000
0.000000000 + -1x + x2 = 0 + 1.333333333
-1x + x2 = 0 + 1.333333333

Combine like terms: 0 + 1.333333333 = 1.333333333
-1x + x2 = 1.333333333

The x term is -1x.  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.
-1x + 0.25 + x2 = 1.333333333 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 1.333333333 + 0.25

Combine like terms: 1.333333333 + 0.25 = 1.583333333
0.25 + -1x + x2 = 1.583333333

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 1.583333333

Calculate the square root of the right side: 1.258305739

Break this problem into two subproblems by setting 
(x + -0.5) equal to 1.258305739 and -1.258305739.


Subproblem 1
x + -0.5 = 1.258305739

Simplifying
x + -0.5 = 1.258305739

Reorder the terms:
-0.5 + x = 1.258305739

Solving
-0.5 + x = 1.258305739

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = 1.258305739 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = 1.258305739 + 0.5
x = 1.258305739 + 0.5

Combine like terms: 1.258305739 + 0.5 = 1.758305739
x = 1.758305739

Simplifying
x = 1.758305739


Subproblem 2
x + -0.5 = -1.258305739

Simplifying
x + -0.5 = -1.258305739

Reorder the terms:
-0.5 + x = -1.258305739

Solving
-0.5 + x = -1.258305739

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = -1.258305739 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = -1.258305739 + 0.5
x = -1.258305739 + 0.5

Combine like terms: -1.258305739 + 0.5 = -0.758305739
x = -0.758305739

Simplifying
x = -0.758305739


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.758305739, -0.758305739}
Solution
x = {1.758305739, -0.758305739}

See similar equations:

| -3r+9=-4r+5 | | (3x+18)-7=2(4+x) | | 6x(3x+3)=24 | | 3(x+3)=2(4+x) | | 3+(2x-1)=4-(3x-3) | | (3x+18)-7=(5x+1)-4 | | 7p+3=6p+11 | | -19-3x=11-9x | | 11p+12q+p-7q-4p= | | 4(x+2)=3(x+5) | | -7x+15=-11x-9 | | x+4=21 | | -x=-2 | | 9x+6=-4 | | 5(x-6)=31 | | 4.5t-2.1t-2.3=7.6 | | 8c+2-7c=-24+12 | | v(v-6)=27 | | 5x+3=-2 | | w^2=2w | | 64b^2-25=0 | | 9x-68=-17x+36 | | b^2-1=0 | | 2b^2+15b+28=0 | | x-5x-1x=-8 | | 2x^2-5x+3=0 | | x+21=2x | | 6x-3-7x=-8 | | x+21+2x=180 | | S^2=-40-13S | | -5=3x-6x+7 | | 2n-1=5n+8 |

Equations solver categories