x^2+0.1x-0.36=0

Simple and best practice solution for x^2+0.1x-0.36=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 x^2+0.1x-0.36=0 equation: 


Simplifying
x2 + 0.1x + -0.36 = 0

Reorder the terms:
-0.36 + 0.1x + x2 = 0

Solving
-0.36 + 0.1x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '0.36' to each side of the equation.
-0.36 + 0.1x + 0.36 + x2 = 0 + 0.36

Reorder the terms:
-0.36 + 0.36 + 0.1x + x2 = 0 + 0.36

Combine like terms: -0.36 + 0.36 = 0.00
0.00 + 0.1x + x2 = 0 + 0.36
0.1x + x2 = 0 + 0.36

Combine like terms: 0 + 0.36 = 0.36
0.1x + x2 = 0.36

The x term is 0.1x.  Take half its coefficient (0.05).
Square it (0.0025) and add it to both sides.

Add '0.0025' to each side of the equation.
0.1x + 0.0025 + x2 = 0.36 + 0.0025

Reorder the terms:
0.0025 + 0.1x + x2 = 0.36 + 0.0025

Combine like terms: 0.36 + 0.0025 = 0.3625
0.0025 + 0.1x + x2 = 0.3625

Factor a perfect square on the left side:
(x + 0.05)(x + 0.05) = 0.3625

Calculate the square root of the right side: 0.602079729

Break this problem into two subproblems by setting 
(x + 0.05) equal to 0.602079729 and -0.602079729.


Subproblem 1
x + 0.05 = 0.602079729

Simplifying
x + 0.05 = 0.602079729

Reorder the terms:
0.05 + x = 0.602079729

Solving
0.05 + x = 0.602079729

Solving for variable 'x'.

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

Add '-0.05' to each side of the equation.
0.05 + -0.05 + x = 0.602079729 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + x = 0.602079729 + -0.05
x = 0.602079729 + -0.05

Combine like terms: 0.602079729 + -0.05 = 0.552079729
x = 0.552079729

Simplifying
x = 0.552079729


Subproblem 2
x + 0.05 = -0.602079729

Simplifying
x + 0.05 = -0.602079729

Reorder the terms:
0.05 + x = -0.602079729

Solving
0.05 + x = -0.602079729

Solving for variable 'x'.

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

Add '-0.05' to each side of the equation.
0.05 + -0.05 + x = -0.602079729 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + x = -0.602079729 + -0.05
x = -0.602079729 + -0.05

Combine like terms: -0.602079729 + -0.05 = -0.652079729
x = -0.652079729

Simplifying
x = -0.652079729


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.552079729, -0.652079729}

See similar equations:

| 5+12p=-7+16p | | 7(x-4)=-3x+42 | | 17/24×2/9 | | .75x+.2=12 | | 5x-11=2x-12 | | -7(x+3)-15=22+5 | | .5e=6 | | 151-4x=41x+21 | | 2x+9=10+x | | 2x+4=16-2x | | 11x-5=10x+4 | | .66=.3f | | 2.9f+g-(-1.3f-g)= | | 7-2x+x=5+6x-12 | | 6x-10=9x+17 | | 7.3x+1.9y-(4.7x+5.8y)= | | 2x+4-x=-7 | | 3x+2y+4z=192 | | X+14.8125=-10.875 | | 12m+6n-5= | | w+.5w+1.5=22.5 | | ln(y)=22 | | R-4.52=5.48 | | 5a/4-b/8= | | cos((pi*t)/2) | | A-.6=.4 | | 6x+6y+4z=480 | | -1.02x+2.29y= | | (0.94y-3.1x)-2.08x+1.35y= | | -17=t-15 | | 5x-1+-2x+24=180 | | X+0.06x=47.70 |

Equations solver categories