-5.8+3.2x+1x^2=0

Simple and best practice solution for -5.8+3.2x+1x^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 -5.8+3.2x+1x^2=0 equation: 


Simplifying
-5.8 + 3.2x + 1x2 = 0

Solving
-5.8 + 3.2x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '5.8' to each side of the equation.
-5.8 + 3.2x + 5.8 + x2 = 0 + 5.8

Reorder the terms:
-5.8 + 5.8 + 3.2x + x2 = 0 + 5.8

Combine like terms: -5.8 + 5.8 = 0.0
0.0 + 3.2x + x2 = 0 + 5.8
3.2x + x2 = 0 + 5.8

Combine like terms: 0 + 5.8 = 5.8
3.2x + x2 = 5.8

The x term is 3.2x.  Take half its coefficient (1.6).
Square it (2.56) and add it to both sides.

Add '2.56' to each side of the equation.
3.2x + 2.56 + x2 = 5.8 + 2.56

Reorder the terms:
2.56 + 3.2x + x2 = 5.8 + 2.56

Combine like terms: 5.8 + 2.56 = 8.36
2.56 + 3.2x + x2 = 8.36

Factor a perfect square on the left side:
(x + 1.6)(x + 1.6) = 8.36

Calculate the square root of the right side: 2.891366459

Break this problem into two subproblems by setting 
(x + 1.6) equal to 2.891366459 and -2.891366459.


Subproblem 1
x + 1.6 = 2.891366459

Simplifying
x + 1.6 = 2.891366459

Reorder the terms:
1.6 + x = 2.891366459

Solving
1.6 + x = 2.891366459

Solving for variable 'x'.

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

Add '-1.6' to each side of the equation.
1.6 + -1.6 + x = 2.891366459 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + x = 2.891366459 + -1.6
x = 2.891366459 + -1.6

Combine like terms: 2.891366459 + -1.6 = 1.291366459
x = 1.291366459

Simplifying
x = 1.291366459


Subproblem 2
x + 1.6 = -2.891366459

Simplifying
x + 1.6 = -2.891366459

Reorder the terms:
1.6 + x = -2.891366459

Solving
1.6 + x = -2.891366459

Solving for variable 'x'.

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

Add '-1.6' to each side of the equation.
1.6 + -1.6 + x = -2.891366459 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + x = -2.891366459 + -1.6
x = -2.891366459 + -1.6

Combine like terms: -2.891366459 + -1.6 = -4.491366459
x = -4.491366459

Simplifying
x = -4.491366459


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.291366459, -4.491366459}

See similar equations:

| 8+7n=15 | | 0=x^3+1 | | f(x)=5000000(1*.05)x | | 1.4n=9.52 | | 7n+8=-13 | | f(x)=821(1*.15)x | | -3t^2(4t^2+6t^4-7)=0 | | -5j=30 | | f(5)=100(1*.22)x | | (x-1)=121 | | f(10)=40(1*.03)x | | (2x-3)=(x+5) | | f(10)=1546(1*0.2)x | | (3x-7)+(2x+2)=145 | | 5x-3(2y-4x)-5y= | | 3X+5X-5=115 | | 9(5+x)-6(x+3)= | | 14Xy= | | 12=g-15 | | 75=-12 | | (-3-x)(-x+3)= | | 0.2(0.5x-4)7.4=-96 | | x+1/2x-3/2x=1/6 | | v-9=-5 | | 2k^2+3k^2-7k^2= | | -4+5y=-34 | | 3.2(2x+2.1)-0.8=-1 | | y^3+2y^2=36y+32 | | 6b+6=8 | | 15=y-23 | | 6+4X+6X=126 | | -(c+d)-4d+5c-d=0 |

Equations solver categories