0.2x^2+0.3x+0.1=

Simple and best practice solution for 0.2x^2+0.3x+0.1= 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 0.2x^2+0.3x+0.1= equation: 


Simplifying
0.2x2 + 0.3x + 0.1 = 0

Reorder the terms:
0.1 + 0.3x + 0.2x2 = 0

Solving
0.1 + 0.3x + 0.2x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.2'.
0.5 + 1.5x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + 1.5x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + 1.5x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 1.5x + x2 = 0 + -0.5
1.5x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
1.5x + x2 = -0.5

The x term is 1.5x.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5x + 0.5625 + x2 = -0.5 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = -0.5 + 0.5625

Combine like terms: -0.5 + 0.5625 = 0.0625
0.5625 + 1.5x + x2 = 0.0625

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = 0.0625

Calculate the square root of the right side: 0.25

Break this problem into two subproblems by setting 
(x + 0.75) equal to 0.25 and -0.25.


Subproblem 1
x + 0.75 = 0.25

Simplifying
x + 0.75 = 0.25

Reorder the terms:
0.75 + x = 0.25

Solving
0.75 + x = 0.25

Solving for variable 'x'.

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

Add '-0.75' to each side of the equation.
0.75 + -0.75 + x = 0.25 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = 0.25 + -0.75
x = 0.25 + -0.75

Combine like terms: 0.25 + -0.75 = -0.5
x = -0.5

Simplifying
x = -0.5


Subproblem 2
x + 0.75 = -0.25

Simplifying
x + 0.75 = -0.25

Reorder the terms:
0.75 + x = -0.25

Solving
0.75 + x = -0.25

Solving for variable 'x'.

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

Add '-0.75' to each side of the equation.
0.75 + -0.75 + x = -0.25 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = -0.25 + -0.75
x = -0.25 + -0.75

Combine like terms: -0.25 + -0.75 = -1
x = -1

Simplifying
x = -1


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.5, -1}

See similar equations:

| 20=1+6k-5 | | 12x=4(8+15) | | 2x-(9x+3)=7x-17 | | .05(x+6)+.01(25x)+.1x+.25(x-2)=3.20 | | 7x+10=77 | | 4u^4-65u^2+16=0 | | 33+4y-7=15y-10-5y | | .1428f-5.5=.643 | | 2x+30+40=180 | | 6k-3k=-3 | | 2y-7=7y-44 | | 3(x-2)+6=5(x+3)+9 | | 6(x-3)=4x-x | | 4y+6=2y-8 | | y^2-6xy-7x^2=0 | | x/3-9=9 | | 4y-6=2y-8 | | -24=k-4-5k | | -18=3n-6n | | 5.4=(.5).9h | | 5x(1-4)=28 | | 6(2x-3)=-162 | | -12(9+4x)=324 | | -x-3(-1)=-2 | | -7-2x+3=10 | | 10x^4+3x-12=0 | | 2x^3+7xy+9x-9x^3-7+10x-6= | | 16t^2+48t=0 | | 10x^4+3x^2-12=0 | | 121y^2+66y+3=0 | | 192+10q+3q^2=10+6q | | 5=3p-4p |

Equations solver categories