-x^2-10x-4=0

Simple and best practice solution for -x^2-10x-4=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 -x^2-10x-4=0 equation: 


Simplifying
-1x2 + -10x + -4 = 0

Reorder the terms:
-4 + -10x + -1x2 = 0

Solving
-4 + -10x + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 10x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(4 + 10x + x2)' equal to zero and attempt to solve:

Simplifying
4 + 10x + x2 = 0

Solving
4 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 10x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 10x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 10x + x2 = 0 + -4
10x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
10x + x2 = -4

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -4 + 25

Reorder the terms:
25 + 10x + x2 = -4 + 25

Combine like terms: -4 + 25 = 21
25 + 10x + x2 = 21

Factor a perfect square on the left side:
(x + 5)(x + 5) = 21

Calculate the square root of the right side: 4.582575695

Break this problem into two subproblems by setting 
(x + 5) equal to 4.582575695 and -4.582575695.


Subproblem 1
x + 5 = 4.582575695

Simplifying
x + 5 = 4.582575695

Reorder the terms:
5 + x = 4.582575695

Solving
5 + x = 4.582575695

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = 4.582575695 + -5

Combine like terms: 5 + -5 = 0
0 + x = 4.582575695 + -5
x = 4.582575695 + -5

Combine like terms: 4.582575695 + -5 = -0.417424305
x = -0.417424305

Simplifying
x = -0.417424305


Subproblem 2
x + 5 = -4.582575695

Simplifying
x + 5 = -4.582575695

Reorder the terms:
5 + x = -4.582575695

Solving
5 + x = -4.582575695

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = -4.582575695 + -5

Combine like terms: 5 + -5 = 0
0 + x = -4.582575695 + -5
x = -4.582575695 + -5

Combine like terms: -4.582575695 + -5 = -9.582575695
x = -9.582575695

Simplifying
x = -9.582575695


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.417424305, -9.582575695}
Solution
x = {-0.417424305, -9.582575695}

See similar equations:

| 2x+10-3=5x-10 | | ax-5x=5ac | | -4.5+2(67)=-6 | | f(x)=log(x)+2 | | 1.6x+x^2=0 | | 51=5x+7x-9 | | 8x^2=576 | | xcubed=18 | | -6(-1.44)+3(7.2)=-30 | | -17-8-[-6-(-11)]=x | | 5(5.72)+2y=43 | | 5x+2(3x-10)=43 | | -6(5.72)+3y=-30 | | 2x+6=4x+-1 | | 12z-12z+6z=18 | | (5-6i)-(-8-i)= | | 4x^2+9x-5.5=0 | | 360=3x^2+8x | | 3x+8-3y=0 | | 7=1+3x | | -92-2x=68 | | 3(x+4)=57 | | 5x+85=100 | | x(x^2-9x-36)=0 | | 7h+-8h=10 | | 6000*12= | | 16-8c-12=-3c | | -30=x-3 | | 16j-14j-j-j+2j=20 | | x^5-2x^4-x^3+2x^2=9 | | 8s+4s-9s+3s=12 | | 2sen^2-sen=1 |

Equations solver categories