3x^2+25x+15=0

Simple and best practice solution for 3x^2+25x+15=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+25x+15=0 equation: 


Simplifying
3x2 + 25x + 15 = 0

Reorder the terms:
15 + 25x + 3x2 = 0

Solving
15 + 25x + 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'.
5 + 8.333333333x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 8.333333333x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + 8.333333333x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 8.333333333x + x2 = 0 + -5
8.333333333x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
8.333333333x + x2 = -5

The x term is 8.333333333x.  Take half its coefficient (4.166666667).
Square it (17.36111111) and add it to both sides.

Add '17.36111111' to each side of the equation.
8.333333333x + 17.36111111 + x2 = -5 + 17.36111111

Reorder the terms:
17.36111111 + 8.333333333x + x2 = -5 + 17.36111111

Combine like terms: -5 + 17.36111111 = 12.36111111
17.36111111 + 8.333333333x + x2 = 12.36111111

Factor a perfect square on the left side:
(x + 4.166666667)(x + 4.166666667) = 12.36111111

Calculate the square root of the right side: 3.515837185

Break this problem into two subproblems by setting 
(x + 4.166666667) equal to 3.515837185 and -3.515837185.


Subproblem 1
x + 4.166666667 = 3.515837185

Simplifying
x + 4.166666667 = 3.515837185

Reorder the terms:
4.166666667 + x = 3.515837185

Solving
4.166666667 + x = 3.515837185

Solving for variable 'x'.

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

Add '-4.166666667' to each side of the equation.
4.166666667 + -4.166666667 + x = 3.515837185 + -4.166666667

Combine like terms: 4.166666667 + -4.166666667 = 0.000000000
0.000000000 + x = 3.515837185 + -4.166666667
x = 3.515837185 + -4.166666667

Combine like terms: 3.515837185 + -4.166666667 = -0.650829482
x = -0.650829482

Simplifying
x = -0.650829482


Subproblem 2
x + 4.166666667 = -3.515837185

Simplifying
x + 4.166666667 = -3.515837185

Reorder the terms:
4.166666667 + x = -3.515837185

Solving
4.166666667 + x = -3.515837185

Solving for variable 'x'.

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

Add '-4.166666667' to each side of the equation.
4.166666667 + -4.166666667 + x = -3.515837185 + -4.166666667

Combine like terms: 4.166666667 + -4.166666667 = 0.000000000
0.000000000 + x = -3.515837185 + -4.166666667
x = -3.515837185 + -4.166666667

Combine like terms: -3.515837185 + -4.166666667 = -7.682503852
x = -7.682503852

Simplifying
x = -7.682503852


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.650829482, -7.682503852}

See similar equations:

| 3d+7e+11d+10e= | | 34=-6x+4(x+6) | | 8w+w=-8+2 | | x*2+81=0 | | 64x+2+26x-2=180 | | 60+0.20=40+0.30 | | 5z+8z=-11-7 | | -6x+4(x+6)=34 | | 3b-4a= | | ax+2=3x+b | | 4b-3a= | | n+(n+1)+(n+1)=84 | | 10x+40=80 | | 3x+4y+13x+22-4y+3= | | 3i-9=-30 | | x*2+x=28 | | .6x=.1x+12 | | 4-6x=3x-20 | | 5x-1.5=x | | 3c+9= | | -7n-3=-24 | | 9-8x=9-6x | | c-4= | | 6y-24=y-24 | | 70p+120+15p=630 | | .01X=.19Y | | 9+3x=6-5x | | 2*x^3+7*x^2+4*x+1=0 | | x+4+2x+5= | | 30x(2x-1)=0 | | P(4p-3)= | | 2x^3+7x^2+4x+1=0 |

Equations solver categories