0.24x^2-2.4x+4=0

Simple and best practice solution for 0.24x^2-2.4x+4=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 0.24x^2-2.4x+4=0 equation: 


Simplifying
0.24x2 + -2.4x + 4 = 0

Reorder the terms:
4 + -2.4x + 0.24x2 = 0

Solving
4 + -2.4x + 0.24x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.24'.
16.66666667 + -10x + x2 = 0

Move the constant term to the right:

Add '-16.66666667' to each side of the equation.
16.66666667 + -10x + -16.66666667 + x2 = 0 + -16.66666667

Reorder the terms:
16.66666667 + -16.66666667 + -10x + x2 = 0 + -16.66666667

Combine like terms: 16.66666667 + -16.66666667 = 0.00000000
0.00000000 + -10x + x2 = 0 + -16.66666667
-10x + x2 = 0 + -16.66666667

Combine like terms: 0 + -16.66666667 = -16.66666667
-10x + x2 = -16.66666667

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -16.66666667 + 25

Reorder the terms:
25 + -10x + x2 = -16.66666667 + 25

Combine like terms: -16.66666667 + 25 = 8.33333333
25 + -10x + x2 = 8.33333333

Factor a perfect square on the left side:
(x + -5)(x + -5) = 8.33333333

Calculate the square root of the right side: 2.886751345

Break this problem into two subproblems by setting 
(x + -5) equal to 2.886751345 and -2.886751345.


Subproblem 1
x + -5 = 2.886751345

Simplifying
x + -5 = 2.886751345

Reorder the terms:
-5 + x = 2.886751345

Solving
-5 + x = 2.886751345

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = 2.886751345 + 5

Combine like terms: -5 + 5 = 0
0 + x = 2.886751345 + 5
x = 2.886751345 + 5

Combine like terms: 2.886751345 + 5 = 7.886751345
x = 7.886751345

Simplifying
x = 7.886751345


Subproblem 2
x + -5 = -2.886751345

Simplifying
x + -5 = -2.886751345

Reorder the terms:
-5 + x = -2.886751345

Solving
-5 + x = -2.886751345

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = -2.886751345 + 5

Combine like terms: -5 + 5 = 0
0 + x = -2.886751345 + 5
x = -2.886751345 + 5

Combine like terms: -2.886751345 + 5 = 2.113248655
x = 2.113248655

Simplifying
x = 2.113248655


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.886751345, 2.113248655}

See similar equations:

| 4[2q-2]=16q | | 18-2x=-4+12 | | 8-4tanx=20 | | 20-23=-3x | | 6x-8=3.5 | | 17x-23=12 | | (x-7)(x-5)(x+4)(x+6)=608 | | 17x-32=34 | | b_4+8=-40 | | x^2=2x^2-8x+8 | | ln(y)=ln(x)+ln(x+1)+ln(C) | | -7+x=5 | | 24x-32=14 | | -.4x+6.4=8 | | 13-4f=18 | | 4x+-20=-40 | | x_8-4=7 | | 37=4w+5 | | 4(x-1)-x=11 | | 2x+y=1.10 | | 121=34+yx+y+34+180 | | 0=4x^3+3x^2-6x | | (3*-2)4=x | | 3x+24=7x+3 | | 2x+2=3x-15+9 | | 50x+20=8(40) | | 2x-11=7x | | 2x-11=7c | | 6st*2st*t*t*t= | | 0.7z-11.9=-0.3z+0.15 | | 3a-4=2 | | 36-3(4r-8)=0 |

Equations solver categories