.3x^2+2x-1=0

Simple and best practice solution for .3x^2+2x-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+2x-1=0 equation: 


Simplifying
0.3x2 + 2x + -1 = 0

Reorder the terms:
-1 + 2x + 0.3x2 = 0

Solving
-1 + 2x + 0.3x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.3'.
-3.333333333 + 6.666666667x + x2 = 0

Move the constant term to the right:

Add '3.333333333' to each side of the equation.
-3.333333333 + 6.666666667x + 3.333333333 + x2 = 0 + 3.333333333

Reorder the terms:
-3.333333333 + 3.333333333 + 6.666666667x + x2 = 0 + 3.333333333

Combine like terms: -3.333333333 + 3.333333333 = 0.000000000
0.000000000 + 6.666666667x + x2 = 0 + 3.333333333
6.666666667x + x2 = 0 + 3.333333333

Combine like terms: 0 + 3.333333333 = 3.333333333
6.666666667x + x2 = 3.333333333

The x term is 6.666666667x.  Take half its coefficient (3.333333334).
Square it (11.11111112) and add it to both sides.

Add '11.11111112' to each side of the equation.
6.666666667x + 11.11111112 + x2 = 3.333333333 + 11.11111112

Reorder the terms:
11.11111112 + 6.666666667x + x2 = 3.333333333 + 11.11111112

Combine like terms: 3.333333333 + 11.11111112 = 14.444444453
11.11111112 + 6.666666667x + x2 = 14.444444453

Factor a perfect square on the left side:
(x + 3.333333334)(x + 3.333333334) = 14.444444453

Calculate the square root of the right side: 3.800584751

Break this problem into two subproblems by setting 
(x + 3.333333334) equal to 3.800584751 and -3.800584751.


Subproblem 1
x + 3.333333334 = 3.800584751

Simplifying
x + 3.333333334 = 3.800584751

Reorder the terms:
3.333333334 + x = 3.800584751

Solving
3.333333334 + x = 3.800584751

Solving for variable 'x'.

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

Add '-3.333333334' to each side of the equation.
3.333333334 + -3.333333334 + x = 3.800584751 + -3.333333334

Combine like terms: 3.333333334 + -3.333333334 = 0.000000000
0.000000000 + x = 3.800584751 + -3.333333334
x = 3.800584751 + -3.333333334

Combine like terms: 3.800584751 + -3.333333334 = 0.467251417
x = 0.467251417

Simplifying
x = 0.467251417


Subproblem 2
x + 3.333333334 = -3.800584751

Simplifying
x + 3.333333334 = -3.800584751

Reorder the terms:
3.333333334 + x = -3.800584751

Solving
3.333333334 + x = -3.800584751

Solving for variable 'x'.

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

Add '-3.333333334' to each side of the equation.
3.333333334 + -3.333333334 + x = -3.800584751 + -3.333333334

Combine like terms: 3.333333334 + -3.333333334 = 0.000000000
0.000000000 + x = -3.800584751 + -3.333333334
x = -3.800584751 + -3.333333334

Combine like terms: -3.800584751 + -3.333333334 = -7.133918085
x = -7.133918085

Simplifying
x = -7.133918085


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.467251417, -7.133918085}

See similar equations:

| x(4x-7)=8 | | (3w-7)(w)=40 | | 0=6x^2-x-5 | | 3m^2+8m=51 | | y/8-2=-5 | | 3ax-1=a+x | | 0=4x^2-6x+2 | | 8x+10=3x+30 | | 2x+3*3=12 | | -4x+7x=20x+15x | | 4x^2=-16x+20 | | 0=3x^2+33x+0 | | 2(-8-7x)=-156 | | 0=9x^2-72x+0 | | 4=mc | | 6dja=1 | | 32+48n+2n-2=30 | | 48x^2=104x | | x+(x*.09)=4.19 | | 0=5x^2+20x+0 | | 6(4-3x)=156 | | 2x+11=x+25 | | -3(-2x-3)=-39 | | 5x+8x-21=105-8x | | 4(x-2)-6=3(x+1)-2 | | -2(1x-9)=22 | | J-12=-12 | | 6x-15-2x-8=3x-1 | | 72/1.6 | | 4y+1+3(22)-13=180 | | 2x-4/-2-2=-6 | | (x-3)/5=6 |

Equations solver categories