.1x^2+.1x=20

Simple and best practice solution for .1x^2+.1x=20 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 .1x^2+.1x=20 equation:


Simplifying
0.1x2 + 0.1x = 20

Reorder the terms:
0.1x + 0.1x2 = 20

Solving
0.1x + 0.1x2 = 20

Solving for variable 'x'.

Reorder the terms:
-20 + 0.1x + 0.1x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 0.1x + 0.1x2 = 0

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

Divide each side by '0.1'.
-200 + x + x2 = 0

Move the constant term to the right:

Add '200' to each side of the equation.
-200 + x + 200 + x2 = 0 + 200

Reorder the terms:
-200 + 200 + x + x2 = 0 + 200

Combine like terms: -200 + 200 = 0
0 + x + x2 = 0 + 200
x + x2 = 0 + 200

Combine like terms: 0 + 200 = 200
x + x2 = 200

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = 200 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = 200 + 0.25

Combine like terms: 200 + 0.25 = 200.25
1.25 + x2 = 200.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 200.25

Calculate the square root of the right side: 14.150971698

Break this problem into two subproblems by setting 
(x + 0.5) equal to 14.150971698 and -14.150971698.

Subproblem 1

x + 0.5 = 14.150971698 Simplifying x + 0.5 = 14.150971698 Reorder the terms: 0.5 + x = 14.150971698 Solving 0.5 + x = 14.150971698 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 14.150971698 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 14.150971698 + -0.5 x = 14.150971698 + -0.5 Combine like terms: 14.150971698 + -0.5 = 13.650971698 x = 13.650971698 Simplifying x = 13.650971698

Subproblem 2

x + 0.5 = -14.150971698 Simplifying x + 0.5 = -14.150971698 Reorder the terms: 0.5 + x = -14.150971698 Solving 0.5 + x = -14.150971698 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -14.150971698 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -14.150971698 + -0.5 x = -14.150971698 + -0.5 Combine like terms: -14.150971698 + -0.5 = -14.650971698 x = -14.650971698 Simplifying x = -14.650971698

Solution

The solution to the problem is based on the solutions from the subproblems. x = {13.650971698, -14.650971698}

See similar equations:

| 9-39= | | -3=x+4 | | 13x-5(x-6)=8x+5 | | 6573286592356492836459263784583764538765923876587365873645x+39487659283659283746598236458267345987635408263549234567x=8324756923845 | | 1x^2=36 | | (3x+6)-(x-6)=52 | | (x+1)2=36 | | 7b-2= | | x-23=19 | | y=-4x+7 | | 9x-12=96 | | 7y=y+42 | | 5(5x-20)=25(x-4) | | .825=.75x | | 5x^2+10x+40=0 | | x^3-8x^2-4x+12=0 | | 0.5m+6.4=4.9+0.1m | | 18-5(x+1)=3 | | -2(x+3)=6x+2 | | 3n-7=-20 | | .875x=12.5 | | 1x+5= | | 5x-15=9x+8 | | 6x^2+17X+28=0 | | (4-2y)+5=9 | | 6x^2-17X+28=0 | | 9+4x=33 | | 25x+9=209+5x | | 5=30x | | 8(k+6)=-8 | | (2x-1)=5 | | 20x-13=15x+62 |

Equations solver categories