x^2-0.4x+0.02=0

Simple and best practice solution for x^2-0.4x+0.02=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^2-0.4x+0.02=0 equation:


Simplifying
x2 + -0.4x + 0.02 = 0

Reorder the terms:
0.02 + -0.4x + x2 = 0

Solving
0.02 + -0.4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.02' to each side of the equation.
0.02 + -0.4x + -0.02 + x2 = 0 + -0.02

Reorder the terms:
0.02 + -0.02 + -0.4x + x2 = 0 + -0.02

Combine like terms: 0.02 + -0.02 = 0.00
0.00 + -0.4x + x2 = 0 + -0.02
-0.4x + x2 = 0 + -0.02

Combine like terms: 0 + -0.02 = -0.02
-0.4x + x2 = -0.02

The x term is -0.4x.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4x + 0.04 + x2 = -0.02 + 0.04

Reorder the terms:
0.04 + -0.4x + x2 = -0.02 + 0.04

Combine like terms: -0.02 + 0.04 = 0.02
0.04 + -0.4x + x2 = 0.02

Factor a perfect square on the left side:
(x + -0.2)(x + -0.2) = 0.02

Calculate the square root of the right side: 0.141421356

Break this problem into two subproblems by setting 
(x + -0.2) equal to 0.141421356 and -0.141421356.

Subproblem 1

x + -0.2 = 0.141421356 Simplifying x + -0.2 = 0.141421356 Reorder the terms: -0.2 + x = 0.141421356 Solving -0.2 + x = 0.141421356 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + x = 0.141421356 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + x = 0.141421356 + 0.2 x = 0.141421356 + 0.2 Combine like terms: 0.141421356 + 0.2 = 0.341421356 x = 0.341421356 Simplifying x = 0.341421356

Subproblem 2

x + -0.2 = -0.141421356 Simplifying x + -0.2 = -0.141421356 Reorder the terms: -0.2 + x = -0.141421356 Solving -0.2 + x = -0.141421356 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + x = -0.141421356 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + x = -0.141421356 + 0.2 x = -0.141421356 + 0.2 Combine like terms: -0.141421356 + 0.2 = 0.058578644 x = 0.058578644 Simplifying x = 0.058578644

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.341421356, 0.058578644}

See similar equations:

| x^2-xd+7x-7d= | | 0.05(x+20)-0.06(x-60)=4 | | 9+4r=2r-1 | | 6c-6y=t-4 | | xn+16w=c | | 5y^2-2y-5=0 | | w(12+w)=220 | | 2*(5+3)*2+4= | | 0.9-(-1.3)= | | 3x+4(-3)=12 | | 36x^3-64x= | | 3v+9=9 | | 2*5+3*(2+4)= | | 7+5c=2(c-10) | | 109+a=-45 | | x^2+5x+xy+5y= | | (x+3)/(5)+(1/3x)=(7) | | 8x-23+54=2x+37 | | (x+3)/(5)+(1/3x)=7 | | 66.8+2.6+x=9.7 | | 4p^2+7p-5=0 | | 2*(5+3*2+4)= | | 4(1b+(-1))=-4+4b | | 3x-35=8x-7 | | 5y+2x=31.50 | | 12+5v=3v-9 | | x+2y^2-4y+3=0 | | 3q=2p+m | | 2x+5y=31.50 | | 17+19+14=x | | x^4+x^3-56x^2= | | 17+19+14= |

Equations solver categories