5x^2-20x-10=0

Simple and best practice solution for 5x^2-20x-10=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-10=0 equation: 


Simplifying
5x2 + -20x + -10 = 0

Reorder the terms:
-10 + -20x + 5x2 = 0

Solving
-10 + -20x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-2 + -4x + x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-2 + -4x + x2)' equal to zero and attempt to solve:

Simplifying
-2 + -4x + x2 = 0

Solving
-2 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + -4x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + -4x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -4x + x2 = 0 + 2
-4x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
-4x + x2 = 2

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 = 2 + 4

Reorder the terms:
4 + -4x + x2 = 2 + 4

Combine like terms: 2 + 4 = 6
4 + -4x + x2 = 6

Factor a perfect square on the left side:
(x + -2)(x + -2) = 6

Calculate the square root of the right side: 2.449489743

Break this problem into two subproblems by setting 
(x + -2) equal to 2.449489743 and -2.449489743.


Subproblem 1
x + -2 = 2.449489743

Simplifying
x + -2 = 2.449489743

Reorder the terms:
-2 + x = 2.449489743

Solving
-2 + x = 2.449489743

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 = 2.449489743 + 2

Combine like terms: -2 + 2 = 0
0 + x = 2.449489743 + 2
x = 2.449489743 + 2

Combine like terms: 2.449489743 + 2 = 4.449489743
x = 4.449489743

Simplifying
x = 4.449489743


Subproblem 2
x + -2 = -2.449489743

Simplifying
x + -2 = -2.449489743

Reorder the terms:
-2 + x = -2.449489743

Solving
-2 + x = -2.449489743

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 = -2.449489743 + 2

Combine like terms: -2 + 2 = 0
0 + x = -2.449489743 + 2
x = -2.449489743 + 2

Combine like terms: -2.449489743 + 2 = -0.449489743
x = -0.449489743

Simplifying
x = -0.449489743


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.449489743, -0.449489743}
Solution
x = {4.449489743, -0.449489743}

See similar equations:

| 4x+2x=20 | | 4x^3-20x^2-96x=0 | | 11x=30+6x | | x-16-3x=0 | | 5-4(x+1)=-3 | | x+9=13-4x | | 264=(w)*(w-4)*((2*w)+10) | | 1+8r-6r=17 | | =(w)*(w-4)*((2*w)+10) | | X+2+x+14=5x+2 | | 1-6x-3x=-8 | | X+2x+14=5x+3 | | ln(4x)+ln(4+x)=4 | | 3+4*7= | | 35+3.6x=1000 | | 35*3.6x=1000 | | 126+3.6x=1000 | | 2x^3-8x^2=0 | | 5y=14-3 | | 9-x^2y^2=0 | | 24*3.6x=1000 | | 24+3.6x=1000 | | X=log(23*cos(X)) | | -51+3.6x=1000 | | 75+3.6x=1000 | | 16=3x-2x | | 2+.3x=8 | | .5(8-10x)=26 | | 9x^2+24x+k= | | (6x-5)(6x-5)= | | 2+.03x=8 | | X^6+8=11 |

Equations solver categories