3x^2+24x+35=0

Simple and best practice solution for 3x^2+24x+35=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+35=0 equation: 


Simplifying
3x2 + 24x + 35 = 0

Reorder the terms:
35 + 24x + 3x2 = 0

Solving
35 + 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'.
11.66666667 + 8x + x2 = 0

Move the constant term to the right:

Add '-11.66666667' to each side of the equation.
11.66666667 + 8x + -11.66666667 + x2 = 0 + -11.66666667

Reorder the terms:
11.66666667 + -11.66666667 + 8x + x2 = 0 + -11.66666667

Combine like terms: 11.66666667 + -11.66666667 = 0.00000000
0.00000000 + 8x + x2 = 0 + -11.66666667
8x + x2 = 0 + -11.66666667

Combine like terms: 0 + -11.66666667 = -11.66666667
8x + x2 = -11.66666667

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 = -11.66666667 + 16

Reorder the terms:
16 + 8x + x2 = -11.66666667 + 16

Combine like terms: -11.66666667 + 16 = 4.33333333
16 + 8x + x2 = 4.33333333

Factor a perfect square on the left side:
(x + 4)(x + 4) = 4.33333333

Calculate the square root of the right side: 2.081665999

Break this problem into two subproblems by setting 
(x + 4) equal to 2.081665999 and -2.081665999.


Subproblem 1
x + 4 = 2.081665999

Simplifying
x + 4 = 2.081665999

Reorder the terms:
4 + x = 2.081665999

Solving
4 + x = 2.081665999

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 = 2.081665999 + -4

Combine like terms: 4 + -4 = 0
0 + x = 2.081665999 + -4
x = 2.081665999 + -4

Combine like terms: 2.081665999 + -4 = -1.918334001
x = -1.918334001

Simplifying
x = -1.918334001


Subproblem 2
x + 4 = -2.081665999

Simplifying
x + 4 = -2.081665999

Reorder the terms:
4 + x = -2.081665999

Solving
4 + x = -2.081665999

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 = -2.081665999 + -4

Combine like terms: 4 + -4 = 0
0 + x = -2.081665999 + -4
x = -2.081665999 + -4

Combine like terms: -2.081665999 + -4 = -6.081665999
x = -6.081665999

Simplifying
x = -6.081665999


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.918334001, -6.081665999}

See similar equations:

| 25x^2-30xy+9y= | | 24+3t= | | 4m-2=-7(4m-2) | | X-0.16X=500 | | y=sqrt(x-2)+5 | | X+0.16X=500 | | 4-5z=16 | | x-2+6-8x=-(7x-7)-(3+x) | | 2x+y=17-x | | (-10x)+4x= | | -(1+7n)+4n=-(n-3) | | 2x4-181/2= | | 3/2*x=1/2 | | x+(x*.055)=21.25 | | 4(y-7)+6=22 | | Mx+nx=15 | | 18-4k=2(k+21) | | 3x+2=2y+8 | | 10a^2-37ab+30b^2=0 | | 5(12-3n)=165 | | (4x+3)+(x-5)-(3x+5)= | | 3(9w+4)=35w-4 | | 8/6×3/6 | | 287=2-w | | 1/6=16 | | 1950+195= | | 29x+11y=7 | | 10x+20=2x+68 | | 10y^2-5y+7= | | 10x+y+9=10y+x | | 2x^3-108x^2+4400=0 | | 5a+2=2a+2 |

Equations solver categories