6x^2+24x-8=0

Simple and best practice solution for 6x^2+24x-8=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 6x^2+24x-8=0 equation: 


Simplifying
6x2 + 24x + -8 = 0

Reorder the terms:
-8 + 24x + 6x2 = 0

Solving
-8 + 24x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 12x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + 12x + 3x2)' equal to zero and attempt to solve:

Simplifying
-4 + 12x + 3x2 = 0

Solving
-4 + 12x + 3x2 = 0

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

Divide each side by '3'.
-1.333333333 + 4x + x2 = 0

Move the constant term to the right:

Add '1.333333333' to each side of the equation.
-1.333333333 + 4x + 1.333333333 + x2 = 0 + 1.333333333

Reorder the terms:
-1.333333333 + 1.333333333 + 4x + x2 = 0 + 1.333333333

Combine like terms: -1.333333333 + 1.333333333 = 0.000000000
0.000000000 + 4x + x2 = 0 + 1.333333333
4x + x2 = 0 + 1.333333333

Combine like terms: 0 + 1.333333333 = 1.333333333
4x + x2 = 1.333333333

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 1.333333333 + 4

Reorder the terms:
4 + 4x + x2 = 1.333333333 + 4

Combine like terms: 1.333333333 + 4 = 5.333333333
4 + 4x + x2 = 5.333333333

Factor a perfect square on the left side:
(x + 2)(x + 2) = 5.333333333

Calculate the square root of the right side: 2.309401077

Break this problem into two subproblems by setting 
(x + 2) equal to 2.309401077 and -2.309401077.


Subproblem 1
x + 2 = 2.309401077

Simplifying
x + 2 = 2.309401077

Reorder the terms:
2 + x = 2.309401077

Solving
2 + x = 2.309401077

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 2.309401077 + -2

Combine like terms: 2 + -2 = 0
0 + x = 2.309401077 + -2
x = 2.309401077 + -2

Combine like terms: 2.309401077 + -2 = 0.309401077
x = 0.309401077

Simplifying
x = 0.309401077


Subproblem 2
x + 2 = -2.309401077

Simplifying
x + 2 = -2.309401077

Reorder the terms:
2 + x = -2.309401077

Solving
2 + x = -2.309401077

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -2.309401077 + -2

Combine like terms: 2 + -2 = 0
0 + x = -2.309401077 + -2
x = -2.309401077 + -2

Combine like terms: -2.309401077 + -2 = -4.309401077
x = -4.309401077

Simplifying
x = -4.309401077


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.309401077, -4.309401077}
Solution
x = {0.309401077, -4.309401077}

See similar equations:

| e^2=16e-48 | | 9(2x+4)=0 | | 0.5r+2(.75r-1)=.25r+6 | | 0.10x+0.25x(x+10)+0.05(4)(x+10)=6.15 | | 5*4=66 | | r^2+18r+50=18 | | 3x-8.4=71.4 | | 6n=n+4 | | x*4=66 | | -18-3x+x*2=0 | | 3(2+x)=11+5(3-x) | | 3y^2-5y+25=5y+2y^2 | | -x+-7=-3 | | 125=.5x+3 | | 5p+7q+3p+2q= | | x^2=-10x-24 | | 3x+23=176 | | -0.5x^2+16x-12=100 | | 3x+x-5=3x+2 | | 4(20)+6x=110 | | 78-3x=-29-3x | | -3(5y-7)+2(4y+9)=0 | | -3m+3m=0 | | -sinx=6x | | 2.3x+14+0.2x+15+2x= | | -36=4n | | (11x+5)(6x+18)=0 | | b^2-20=16 | | 2x^2+4x-44=0 | | 40.00+15.00x=205.00 | | -1+10i=-x+3yi | | -32=-7m-12+3m |

Equations solver categories