3x^2-24x-5=0

Simple and best practice solution for 3x^2-24x-5=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 3x^2-24x-5=0 equation: 


Simplifying
3x2 + -24x + -5 = 0

Reorder the terms:
-5 + -24x + 3x2 = 0

Solving
-5 + -24x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
-1.666666667 + -8x + x2 = 0

Move the constant term to the right:

Add '1.666666667' to each side of the equation.
-1.666666667 + -8x + 1.666666667 + x2 = 0 + 1.666666667

Reorder the terms:
-1.666666667 + 1.666666667 + -8x + x2 = 0 + 1.666666667

Combine like terms: -1.666666667 + 1.666666667 = 0.000000000
0.000000000 + -8x + x2 = 0 + 1.666666667
-8x + x2 = 0 + 1.666666667

Combine like terms: 0 + 1.666666667 = 1.666666667
-8x + x2 = 1.666666667

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = 1.666666667 + 16

Reorder the terms:
16 + -8x + x2 = 1.666666667 + 16

Combine like terms: 1.666666667 + 16 = 17.666666667
16 + -8x + x2 = 17.666666667

Factor a perfect square on the left side:
(x + -4)(x + -4) = 17.666666667

Calculate the square root of the right side: 4.203173404

Break this problem into two subproblems by setting 
(x + -4) equal to 4.203173404 and -4.203173404.


Subproblem 1
x + -4 = 4.203173404

Simplifying
x + -4 = 4.203173404

Reorder the terms:
-4 + x = 4.203173404

Solving
-4 + x = 4.203173404

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = 4.203173404 + 4

Combine like terms: -4 + 4 = 0
0 + x = 4.203173404 + 4
x = 4.203173404 + 4

Combine like terms: 4.203173404 + 4 = 8.203173404
x = 8.203173404

Simplifying
x = 8.203173404


Subproblem 2
x + -4 = -4.203173404

Simplifying
x + -4 = -4.203173404

Reorder the terms:
-4 + x = -4.203173404

Solving
-4 + x = -4.203173404

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = -4.203173404 + 4

Combine like terms: -4 + 4 = 0
0 + x = -4.203173404 + 4
x = -4.203173404 + 4

Combine like terms: -4.203173404 + 4 = -0.203173404
x = -0.203173404

Simplifying
x = -0.203173404


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.203173404, -0.203173404}

See similar equations:

| 10x+16x^3=0 | | 3y+2x+12=0 | | -4a-4=a+11 | | 3-3(x-2)=x | | 3x-4y=24 | | 36*2.15= | | 8x-5+5x=6+9x-3 | | -7-16=4n+17 | | 2(d-4)-d=8 | | 12g-8=4+6g | | 10+7x=3x-80 | | -3(p+2)=-30 | | 5h+4=7h+3 | | 4z-2=z+1 | | 20-4=-4(u-5) | | 12x-5x=-21 | | (x^2)-5x+3=6 | | 7x^2-37x-36=0 | | -2y-3y+8=8-6y-12 | | -3x-y=-1 | | 18+k=2(3k+1) | | 18+k=(3k+1) | | 2b+6=-b+3 | | 12y+72=0 | | X+12=5X+10 | | 600f=19f | | 7y-15x=1 | | 49-3m=4m+14 | | 5+x+6x=54 | | 7t+4=2(7+5) | | -3(-3)= | | 8y+6=7y-5 |

Equations solver categories