5x^2-20x-2=0

Simple and best practice solution for 5x^2-20x-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 5x^2-20x-2=0 equation: 


Simplifying
5x2 + -20x + -2 = 0

Reorder the terms:
-2 + -20x + 5x2 = 0

Solving
-2 + -20x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
-0.4 + -4x + x2 = 0

Move the constant term to the right:

Add '0.4' to each side of the equation.
-0.4 + -4x + 0.4 + x2 = 0 + 0.4

Reorder the terms:
-0.4 + 0.4 + -4x + x2 = 0 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + -4x + x2 = 0 + 0.4
-4x + x2 = 0 + 0.4

Combine like terms: 0 + 0.4 = 0.4
-4x + x2 = 0.4

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = 0.4 + 4

Reorder the terms:
4 + -4x + x2 = 0.4 + 4

Combine like terms: 0.4 + 4 = 4.4
4 + -4x + x2 = 4.4

Factor a perfect square on the left side:
(x + -2)(x + -2) = 4.4

Calculate the square root of the right side: 2.097617696

Break this problem into two subproblems by setting 
(x + -2) equal to 2.097617696 and -2.097617696.


Subproblem 1
x + -2 = 2.097617696

Simplifying
x + -2 = 2.097617696

Reorder the terms:
-2 + x = 2.097617696

Solving
-2 + x = 2.097617696

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = 2.097617696 + 2

Combine like terms: -2 + 2 = 0
0 + x = 2.097617696 + 2
x = 2.097617696 + 2

Combine like terms: 2.097617696 + 2 = 4.097617696
x = 4.097617696

Simplifying
x = 4.097617696


Subproblem 2
x + -2 = -2.097617696

Simplifying
x + -2 = -2.097617696

Reorder the terms:
-2 + x = -2.097617696

Solving
-2 + x = -2.097617696

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = -2.097617696 + 2

Combine like terms: -2 + 2 = 0
0 + x = -2.097617696 + 2
x = -2.097617696 + 2

Combine like terms: -2.097617696 + 2 = -0.097617696
x = -0.097617696

Simplifying
x = -0.097617696


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.097617696, -0.097617696}

See similar equations:

| -6p^2-11p-5=0 | | x+3=12+2 | | 3ab-2b=42 | | lnx-ln(x+2)=2 | | 7p-3=5p+11 | | lnx-ln(x+3)=3 | | h^2-h=-6 | | h^2-h=6 | | 6a+ab= | | 12-8=y | | 1x+1x+1x+1x+1x=124 | | y=3x^3-7 | | 5x-8=6x+10 | | f=6/5(n-28) | | X+29=75 | | 1/2x7/12 | | 4x=36+7x | | 256/10 | | 4x/2-10=20 | | 9x+(60+x)=360 | | x*(2/5)=-4 | | -3y=(-2x)+6 | | 21+2y=19 | | 6b+15=-2b-9 | | X^4=2/3 | | 17-2y=8-y | | 5/ｘ=tan50 | | 4a+7=3a+3 | | x*(3/7)=-5 | | -8=-5-1/2p | | 3/6*15*(69*5/25) | | (X+4)squared= |

Equations solver categories