0.015x^2-0.120x+0.20=0

Simple and best practice solution for 0.015x^2-0.120x+0.20=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 0.015x^2-0.120x+0.20=0 equation:


Simplifying
0.015x2 + -0.120x + 0.20 = 0

Reorder the terms:
0.20 + -0.120x + 0.015x2 = 0

Solving
0.20 + -0.120x + 0.015x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.015'.
13.33333333 + -8x + x2 = 0

Move the constant term to the right:

Add '-13.33333333' to each side of the equation.
13.33333333 + -8x + -13.33333333 + x2 = 0 + -13.33333333

Reorder the terms:
13.33333333 + -13.33333333 + -8x + x2 = 0 + -13.33333333

Combine like terms: 13.33333333 + -13.33333333 = 0.00000000
0.00000000 + -8x + x2 = 0 + -13.33333333
-8x + x2 = 0 + -13.33333333

Combine like terms: 0 + -13.33333333 = -13.33333333
-8x + x2 = -13.33333333

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -13.33333333 + 16

Reorder the terms:
16 + -8x + x2 = -13.33333333 + 16

Combine like terms: -13.33333333 + 16 = 2.66666667
16 + -8x + x2 = 2.66666667

Factor a perfect square on the left side:
(x + -4)(x + -4) = 2.66666667

Calculate the square root of the right side: 1.632993163

Break this problem into two subproblems by setting 
(x + -4) equal to 1.632993163 and -1.632993163.

Subproblem 1

x + -4 = 1.632993163 Simplifying x + -4 = 1.632993163 Reorder the terms: -4 + x = 1.632993163 Solving -4 + x = 1.632993163 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 1.632993163 + 4 Combine like terms: -4 + 4 = 0 0 + x = 1.632993163 + 4 x = 1.632993163 + 4 Combine like terms: 1.632993163 + 4 = 5.632993163 x = 5.632993163 Simplifying x = 5.632993163

Subproblem 2

x + -4 = -1.632993163 Simplifying x + -4 = -1.632993163 Reorder the terms: -4 + x = -1.632993163 Solving -4 + x = -1.632993163 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = -1.632993163 + 4 Combine like terms: -4 + 4 = 0 0 + x = -1.632993163 + 4 x = -1.632993163 + 4 Combine like terms: -1.632993163 + 4 = 2.367006837 x = 2.367006837 Simplifying x = 2.367006837

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.632993163, 2.367006837}

See similar equations:

| 3(z)=1239 | | (18z-6)(12z-14)=0 | | 20+10x=11x | | 0.31/20.35 | | 14-3m=4 | | x^2+16xy+60y^2=0 | | 5/9x^2 | | (4+x^2)-(49-x^2)-(36-x^2)=0 | | y=1/x9 | | 0.31/40.35 | | (-1/2)(3/8)-3/4 | | 0+t=54 | | 4x=36.8 | | 10x^3+12x^2+4x+1234=0 | | (7/4-2) | | 4+2x-7= | | 7+3m=6m-8 | | f(x)=xsquared-10x+24 | | 1/3(1/9) | | 0.31/30.35 | | (3/5)*(3/5)*(3/5)*(3/5)*(3/5)*(3/5)*(3/5)*(3/5) | | X^2+6x+9=12x+18 | | (5/5)*(5/5)*(5/5)*(5/5)*(5/5)*(5/5)*(5/5) | | 108x^2+144x+21=0 | | 6/48(-21/105)-(-5) | | X^3=28 | | -7x+14=-4x+17 | | 3x(6-x)=24 | | 0.0000987t^2-0.0122t+0.0613=0 | | x^2+18x+81=30 | | 10.3x/5=23 | | 2=12x-y |

Equations solver categories