x(x)+9999999x+10000000=0

Simple and best practice solution for x(x)+9999999x+10000000=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)+9999999x+10000000=0 equation: 


Simplifying
x(x) + 9999999x + 10000000 = 0

Multiply x * x
x2 + 9999999x + 10000000 = 0

Reorder the terms:
10000000 + 9999999x + x2 = 0

Solving
10000000 + 9999999x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-10000000' to each side of the equation.
10000000 + 9999999x + -10000000 + x2 = 0 + -10000000

Reorder the terms:
10000000 + -10000000 + 9999999x + x2 = 0 + -10000000

Combine like terms: 10000000 + -10000000 = 0
0 + 9999999x + x2 = 0 + -10000000
9999999x + x2 = 0 + -10000000

Combine like terms: 0 + -10000000 = -10000000
9999999x + x2 = -10000000

The x term is 9999999x.  Take half its coefficient (4999999.5).
Square it (24999995000000) and add it to both sides.

Add '24999995000000' to each side of the equation.
9999999x + 24999995000000 + x2 = -10000000 + 24999995000000

Reorder the terms:
24999995000000 + 9999999x + x2 = -10000000 + 24999995000000

Combine like terms: -10000000 + 24999995000000 = 24999985000000
24999995000000 + 9999999x + x2 = 24999985000000

Factor a perfect square on the left side:
(x + 4999999.5)(x + 4999999.5) = 24999985000000

Calculate the square root of the right side: 4999998.499999775

Break this problem into two subproblems by setting 
(x + 4999999.5) equal to 4999998.499999775 and -4999998.499999775.


Subproblem 1
x + 4999999.5 = 4999998.499999775

Simplifying
x + 4999999.5 = 4999998.499999775

Reorder the terms:
4999999.5 + x = 4999998.499999775

Solving
4999999.5 + x = 4999998.499999775

Solving for variable 'x'.

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

Add '-4999999.5' to each side of the equation.
4999999.5 + -4999999.5 + x = 4999998.499999775 + -4999999.5

Combine like terms: 4999999.5 + -4999999.5 = 0.0
0.0 + x = 4999998.499999775 + -4999999.5
x = 4999998.499999775 + -4999999.5

Combine like terms: 4999998.499999775 + -4999999.5 = -1.000000225
x = -1.000000225

Simplifying
x = -1.000000225


Subproblem 2
x + 4999999.5 = -4999998.499999775

Simplifying
x + 4999999.5 = -4999998.499999775

Reorder the terms:
4999999.5 + x = -4999998.499999775

Solving
4999999.5 + x = -4999998.499999775

Solving for variable 'x'.

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

Add '-4999999.5' to each side of the equation.
4999999.5 + -4999999.5 + x = -4999998.499999775 + -4999999.5

Combine like terms: 4999999.5 + -4999999.5 = 0.0
0.0 + x = -4999998.499999775 + -4999999.5
x = -4999998.499999775 + -4999999.5

Combine like terms: -4999998.499999775 + -4999999.5 = -9999997.999999775
x = -9999997.999999775

Simplifying
x = -9999997.999999775


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.000000225, -9999997.999999775}

See similar equations:

| 20-3x=8-7x | | x(x)(x)+3x(x)+3x+1=0 | | x(x)(y)(y)+4xy+3=0 | | y-4=4(x+3) | | 67-6x=9+22 | | x(y)+4xy+3=0 | | x(x)+4x+3=0 | | 2x+13=76+5x | | x+y=x(x) | | x+x=x+x | | (x)(y)(x+1)(y+1)=1 | | (x)(x)(x)(x)(x)(x)(x)(x)(x)(x)(x)(x)(x)=1 | | x(x)(x)=1 | | 2t^2+21t+52=0 | | 15-2(x+3)=x+9 | | 7(x+7)=2x-1 | | 29+x=7x+5 | | 13-(-2x+5)=8 | | 6+10=416 | | 4t^3-4t=0 | | x(x-28)=-196 | | y=-1/2x+8 | | 4x+13=57 | | 7ln(4x)=28 | | 8y-28=3y+2 | | -1/2x+8=1x+2 | | x-3=x^2 | | (x+8)(x^2+7x-18)=0 | | 16-(x-8)=0.85-20 | | 5c+8=4c+15 | | (1/2x+x)+(x+5)=100 | | 0.5*x+x+x+5=100 |

Equations solver categories