4x^2-0.2x+0.01=0

Simple and best practice solution for 4x^2-0.2x+0.01=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 4x^2-0.2x+0.01=0 equation:


Simplifying
4x2 + -0.2x + 0.01 = 0

Reorder the terms:
0.01 + -0.2x + 4x2 = 0

Solving
0.01 + -0.2x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
0.0025 + -0.05x + x2 = 0

Move the constant term to the right:

Add '-0.0025' to each side of the equation.
0.0025 + -0.05x + -0.0025 + x2 = 0 + -0.0025

Reorder the terms:
0.0025 + -0.0025 + -0.05x + x2 = 0 + -0.0025

Combine like terms: 0.0025 + -0.0025 = 0.0000
0.0000 + -0.05x + x2 = 0 + -0.0025
-0.05x + x2 = 0 + -0.0025

Combine like terms: 0 + -0.0025 = -0.0025
-0.05x + x2 = -0.0025

The x term is -0.05x.  Take half its coefficient (-0.025).
Square it (0.000625) and add it to both sides.

Add '0.000625' to each side of the equation.
-0.05x + 0.000625 + x2 = -0.0025 + 0.000625

Reorder the terms:
0.000625 + -0.05x + x2 = -0.0025 + 0.000625

Combine like terms: -0.0025 + 0.000625 = -0.001875
0.000625 + -0.05x + x2 = -0.001875

Factor a perfect square on the left side:
(x + -0.025)(x + -0.025) = -0.001875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 8[m+5]=16 | | x+5+1=x | | a^2+2a-17=7 | | 16p+16q+p-4q-5p= | | Y=8mx-9b | | 11x+8-4x=-9x-10+x | | x^2+20x-15=6 | | 4(d-2)+5= | | 5-3(1-x)=-16 | | 7(4x+8)-6=106 | | f(2.885)=-5.89+6.357 | | 6x^2+7=13 | | 5y+3=2y+20 | | 2ln(x)+ln(6x+7)=ln(9x-2) | | 3(2d-1)-2d= | | b-(-17)=12 | | logy=-12.1886 | | 0.35x+0.05(6-x)=0.10(39) | | -7v^2=-252 | | k^2+40=-13k | | 2(3a-4)=4(5-2a) | | 9(2x-3)-4(5+3x)=5(6+x) | | -4(3+x)+5=4(x+3)+5 | | 3=-2x-7 | | 5-3(1-x)=16 | | 0.20x+0.05(18-x)=0.10(3) | | 5k^2-6=119 | | 5(6c-5)-[3(3c-3)+3]= | | Ln(x^2)+5ln(x)-9ln(x)=-9ln | | 1+2i+3(i*i)= | | 3v^2=108 | | 24x^2+-24x+6=0 |

Equations solver categories