-.8x^2-.8x-.2=0

Simple and best practice solution for -.8x^2-.8x-.2=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 -.8x^2-.8x-.2=0 equation:


Simplifying
-0.8x2 + -0.8x + -0.2 = 0

Reorder the terms:
-0.2 + -0.8x + -0.8x2 = 0

Solving
-0.2 + -0.8x + -0.8x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-0.8 the coefficient of the squared term: 

Divide each side by '-0.8'.
0.25 + x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + x + x2 = 0 + -0.25
x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
x + x2 = -0.25

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -0.25 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -0.25 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
1.25 + x2 = 0.00

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 0.00

Calculate the square root of the right side: 0.00

Break this problem into two subproblems by setting 
(x + 0.5) equal to 0.00 and 0.00.

Subproblem 1

x + 0.5 = 0.00 Simplifying x + 0.5 = 0.00 Reorder the terms: 0.5 + x = 0.00 Solving 0.5 + x = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 0.00 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 0.00 + -0.5 x = 0.00 + -0.5 Combine like terms: 0.00 + -0.5 = -0.5 x = -0.5 Simplifying x = -0.5

Subproblem 2

x + 0.5 = 0.00 Simplifying x + 0.5 = 0.00 Reorder the terms: 0.5 + x = 0.00 Solving 0.5 + x = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 0.00 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 0.00 + -0.5 x = 0.00 + -0.5 Combine like terms: 0.00 + -0.5 = -0.5 x = -0.5 Simplifying x = -0.5

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.5, -0.5}

See similar equations:

| 12+g=-20 | | 5.63+p+6.74= | | (2e^4x)=8 | | 2e^4x=8 | | -2y^2=Y+3 | | -32+j+16-4j= | | 112x^2-252=0 | | -3.5t^2+4.7x-2.9=0 | | -3y=48 | | 90x-120x+40=0 | | -2y^2+Y+3=0 | | 15y^5-25y^4+35y^3= | | 3y-2=0 | | -80=16n | | -15=m+7 | | 3x^2+2=66 | | 3y-2=-1 | | 40x^5-6x^4-4x^3= | | -3k^2+42k-147=0 | | 8x^2+14x+21=-12x | | 48y^2-72xy+27x^2=0 | | 7x^3+14x^2=105x | | 36m^2-84m+49=0 | | x+1-4=x^2+49 | | x+1-4=x^2-49 | | 45x-5=0 | | 68=x-33 | | (x+1)-2=x-7 | | 0.3(x+10)+0.9x=39 | | x^3-4x^2-6x+24=0 | | 0.07-0.007x=0.7 | | 9y^3+8=4y+13y^2 |

Equations solver categories