0.1x^2+0.19x-0.35=0

Simple and best practice solution for 0.1x^2+0.19x-0.35=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 0.1x^2+0.19x-0.35=0 equation: 


Simplifying
0.1x2 + 0.19x + -0.35 = 0

Reorder the terms:
-0.35 + 0.19x + 0.1x2 = 0

Solving
-0.35 + 0.19x + 0.1x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.1'.
-3.5 + 1.9x + x2 = 0

Move the constant term to the right:

Add '3.5' to each side of the equation.
-3.5 + 1.9x + 3.5 + x2 = 0 + 3.5

Reorder the terms:
-3.5 + 3.5 + 1.9x + x2 = 0 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 1.9x + x2 = 0 + 3.5
1.9x + x2 = 0 + 3.5

Combine like terms: 0 + 3.5 = 3.5
1.9x + x2 = 3.5

The x term is 1.9x.  Take half its coefficient (0.95).
Square it (0.9025) and add it to both sides.

Add '0.9025' to each side of the equation.
1.9x + 0.9025 + x2 = 3.5 + 0.9025

Reorder the terms:
0.9025 + 1.9x + x2 = 3.5 + 0.9025

Combine like terms: 3.5 + 0.9025 = 4.4025
0.9025 + 1.9x + x2 = 4.4025

Factor a perfect square on the left side:
(x + 0.95)(x + 0.95) = 4.4025

Calculate the square root of the right side: 2.098213526

Break this problem into two subproblems by setting 
(x + 0.95) equal to 2.098213526 and -2.098213526.


Subproblem 1
x + 0.95 = 2.098213526

Simplifying
x + 0.95 = 2.098213526

Reorder the terms:
0.95 + x = 2.098213526

Solving
0.95 + x = 2.098213526

Solving for variable 'x'.

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

Add '-0.95' to each side of the equation.
0.95 + -0.95 + x = 2.098213526 + -0.95

Combine like terms: 0.95 + -0.95 = 0.00
0.00 + x = 2.098213526 + -0.95
x = 2.098213526 + -0.95

Combine like terms: 2.098213526 + -0.95 = 1.148213526
x = 1.148213526

Simplifying
x = 1.148213526


Subproblem 2
x + 0.95 = -2.098213526

Simplifying
x + 0.95 = -2.098213526

Reorder the terms:
0.95 + x = -2.098213526

Solving
0.95 + x = -2.098213526

Solving for variable 'x'.

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

Add '-0.95' to each side of the equation.
0.95 + -0.95 + x = -2.098213526 + -0.95

Combine like terms: 0.95 + -0.95 = 0.00
0.00 + x = -2.098213526 + -0.95
x = -2.098213526 + -0.95

Combine like terms: -2.098213526 + -0.95 = -3.048213526
x = -3.048213526

Simplifying
x = -3.048213526


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.148213526, -3.048213526}

See similar equations:

| 5x^2-7x-70=0 | | 14+3x+30=14x+28+x | | 2u=-4u+30 | | (t-2)(t+5)=0 | | 4x^2+5=10 | | 3x=10x-14 | | 4-j=-60 | | 5a=9a-12 | | 14+16(t+6)=-6 | | -9-5r=1-3r | | 3v=-5v-16 | | n^2+11n+30=0 | | 36n=-72 | | 14=-2+6n+2n | | 7x-2=-2x-9 | | 7t=-108 | | 24-34x+11x^2-x^3=0 | | -8m=-88 | | -8=5r-5+2 | | -16y=48 | | 10y=-80 | | -9a=108 | | -n+2n=-4 | | 5x+6y=1 | | 3d^2-2d=3 | | 32-36x+11x^2-x^3=0 | | 2n=96 | | 11(4+6y)+5(13y+1)=9 | | 4x+10=x | | 4+j=-60 | | f/6+4=-35 | | 2n=-5n+21 |

Equations solver categories