(2x^2)+(10x)+1=0

Simple and best practice solution for (2x^2)+(10x)+1=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 (2x^2)+(10x)+1=0 equation: 


Simplifying
(2x2) + (10x) + 1 = 0

Reorder the terms:
1 + (10x) + (2x2) = 0

Solving
1 + (10x) + (2x2) = 0

Solving for variable 'x'.

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

Divide each side by '2'.
0.5 + (5x) + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + (5x) + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + (5x) + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + (5x) + x2 = 0 + -0.5
(5x) + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
(5x) + x2 = -0.5

The x term is (5x).  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
(5x) + 6.25 + x2 = -0.5 + 6.25

Reorder the terms:
6.25 + (5x) + x2 = -0.5 + 6.25

Combine like terms: -0.5 + 6.25 = 5.75
6.25 + (5x) + x2 = 5.75

Factor a perfect square on the left side:
((x) + 2.5)((x) + 2.5) = 5.75

Calculate the square root of the right side: 2.397915762

Break this problem into two subproblems by setting 
((x) + 2.5) equal to 2.397915762 and -2.397915762.


Subproblem 1
(x) + 2.5 = 2.397915762

Simplifying
(x) + 2.5 = 2.397915762
x + 2.5 = 2.397915762

Reorder the terms:
2.5 + x = 2.397915762

Solving
2.5 + x = 2.397915762

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 2.397915762 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 2.397915762 + -2.5
x = 2.397915762 + -2.5

Combine like terms: 2.397915762 + -2.5 = -0.102084238
x = -0.102084238

Simplifying
x = -0.102084238


Subproblem 2
(x) + 2.5 = -2.397915762

Simplifying
(x) + 2.5 = -2.397915762
x + 2.5 = -2.397915762

Reorder the terms:
2.5 + x = -2.397915762

Solving
2.5 + x = -2.397915762

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -2.397915762 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -2.397915762 + -2.5
x = -2.397915762 + -2.5

Combine like terms: -2.397915762 + -2.5 = -4.897915762
x = -4.897915762

Simplifying
x = -4.897915762


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.102084238, -4.897915762}

See similar equations:

| 1/4(-12x-7) | | 3(2x+7)=54 | | 5/3x+7=4/5x-3 | | 3w-5/9w | | 3x/7=5 | | 8/3x+2=10 | | (2x^2)+(10x)+1= | | 3x^3+2x^2+x+72=0 | | dm=50 | | 5x^3-6x^2-25x+30=0 | | 2/3q=-18 | | -56-24= | | 8-(7-h)=5h | | 8x+3x=20 | | 9(2x-3)-9x=45 | | 3(t+12)=18 | | 5(8x-3)-32x=41 | | 3(2x+7)-9=24 | | 4x+3=18-2 | | 2(2x+4)+7=47 | | 4x^2+23x+25=0 | | 9(x+3)-3x=81 | | x^2+10x+30=-2x-2 | | N/-3=15 | | 6(3x-4)-12x=0 | | 5(a+2)=-10 | | 2(3x-7)+4x=56 | | 7x=4x-11 | | 5x+2(4x+7)-9=2(x+5) | | x^2-8x+19=7 | | 1-6/8x=6/9 | | 5(2x+1)+3x=44 |

Equations solver categories