(x)(x)+10x+4=0

Simple and best practice solution for (x)(x)+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)(x)+10x+4=0 equation:


Simplifying
(x)(x) + 10x + 4 = 0

Multiply x * x
x2 + 10x + 4 = 0

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

Solving
4 + 10x + x2 = 0

Solving for variable 'x'.

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}

See similar equations:

| 2x-3y+4y= | | 5x-3(x-2)=-9+4x-1 | | 7n-2=7n^2-5n+6 | | (5x)(x)-60x+30=0 | | 7(y-3)=7+2y | | (4x)(x)+20x-28=0 | | 2x+8=8x^2-4x+8 | | 46-6x=6-10x | | 14+28x=42+21x | | 4x+9=-36-5x | | (x)(x)-3x=4 | | f(2)=1/2(16) | | 2b+1=2b^2+4b+6 | | (x)(x)-18x+7=0 | | (x)(x)-18+7=0 | | 5x+4(2x-7)=-15 | | f(2)=1/2(4) | | (x)(x)+10x-9=0 | | 1/10y-6=-19 | | 5d^3-3d^2-18.75d-62.5=0 | | x^2-34x-120=0 | | c=37.26+.50x | | 8s=64 | | x^3-2x^2=2x^2-3x | | 8x-7=6x+4 | | 5(n-7)=15 | | 2(2x+5)=20 | | 7x*9x=130 | | -d^3+18d^2+18.75d+31.25=0 | | d^3-18d^2-18.75d-31.25=0 | | 7x+9x=130 | | 7+9=130 |

Equations solver categories