3x^2+25x-8.1=0

Simple and best practice solution for 3x^2+25x-8.1=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-8.1=0 equation: 


Simplifying
3x2 + 25x + -8.1 = 0

Reorder the terms:
-8.1 + 25x + 3x2 = 0

Solving
-8.1 + 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'.
-2.7 + 8.333333333x + x2 = 0

Move the constant term to the right:

Add '2.7' to each side of the equation.
-2.7 + 8.333333333x + 2.7 + x2 = 0 + 2.7

Reorder the terms:
-2.7 + 2.7 + 8.333333333x + x2 = 0 + 2.7

Combine like terms: -2.7 + 2.7 = 0.0
0.0 + 8.333333333x + x2 = 0 + 2.7
8.333333333x + x2 = 0 + 2.7

Combine like terms: 0 + 2.7 = 2.7
8.333333333x + x2 = 2.7

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 = 2.7 + 17.36111111

Reorder the terms:
17.36111111 + 8.333333333x + x2 = 2.7 + 17.36111111

Combine like terms: 2.7 + 17.36111111 = 20.06111111
17.36111111 + 8.333333333x + x2 = 20.06111111

Factor a perfect square on the left side:
(x + 4.166666667)(x + 4.166666667) = 20.06111111

Calculate the square root of the right side: 4.478963174

Break this problem into two subproblems by setting 
(x + 4.166666667) equal to 4.478963174 and -4.478963174.


Subproblem 1
x + 4.166666667 = 4.478963174

Simplifying
x + 4.166666667 = 4.478963174

Reorder the terms:
4.166666667 + x = 4.478963174

Solving
4.166666667 + x = 4.478963174

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 = 4.478963174 + -4.166666667

Combine like terms: 4.166666667 + -4.166666667 = 0.000000000
0.000000000 + x = 4.478963174 + -4.166666667
x = 4.478963174 + -4.166666667

Combine like terms: 4.478963174 + -4.166666667 = 0.312296507
x = 0.312296507

Simplifying
x = 0.312296507


Subproblem 2
x + 4.166666667 = -4.478963174

Simplifying
x + 4.166666667 = -4.478963174

Reorder the terms:
4.166666667 + x = -4.478963174

Solving
4.166666667 + x = -4.478963174

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 = -4.478963174 + -4.166666667

Combine like terms: 4.166666667 + -4.166666667 = 0.000000000
0.000000000 + x = -4.478963174 + -4.166666667
x = -4.478963174 + -4.166666667

Combine like terms: -4.478963174 + -4.166666667 = -8.645629841
x = -8.645629841

Simplifying
x = -8.645629841


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.312296507, -8.645629841}

See similar equations:

| 51=7(-1+2x)+2 | | 19x-22=14 | | 840=(x+20)12 | | 2x^2-8x=-3 | | 4(1x-9)=-52 | | 5(n+2)=8-4d | | 125=15+5v | | 7-1/5y=3 | | 1/4x+6=12 | | -9=7 | | 6v+3+7=-8+v-3+2v | | 125/5 | | 18x-9x+7x=32 | | x-5/6=x-11/2 | | 6n^2-9n-1=y | | -x+1=12 | | n/5-8=0 | | 3x=12+4x-12 | | 125=15+5x | | 8b=48 | | -6{5-2y}=-9 | | 4w+8=-64 | | 653.95=41(x+2.95) | | 36=h/-12 | | E=mc*mc | | 2(1+6x)+3(x+5)=x+4+7 | | 36+-36+T=88+-36 | | -14=-3x+2+x | | (4x/24)=(56/112) | | 9-4w=2 | | 84=8(m+2.6) | | 84=(m+2.6) |

Equations solver categories