x(x+1)=-0.01111

Simple and best practice solution for x(x+1)=-0.01111 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+1)=-0.01111 equation: 


Simplifying
x(x + 1) = -0.01111

Reorder the terms:
x(1 + x) = -0.01111
(1 * x + x * x) = -0.01111
(1x + x2) = -0.01111

Solving
1x + x2 = -0.01111

Solving for variable 'x'.

Reorder the terms:
0.01111 + 1x + x2 = -0.01111 + 0.01111

Combine like terms: -0.01111 + 0.01111 = 0.00000
0.01111 + 1x + x2 = 0.00000

Begin completing the square.

Move the constant term to the right:

Add '-0.01111' to each side of the equation.
0.01111 + 1x + -0.01111 + x2 = 0.00000 + -0.01111

Reorder the terms:
0.01111 + -0.01111 + 1x + x2 = 0.00000 + -0.01111

Combine like terms: 0.01111 + -0.01111 = 0.00000
0.00000 + 1x + x2 = 0.00000 + -0.01111
1x + x2 = 0.00000 + -0.01111

Combine like terms: 0.00000 + -0.01111 = -0.01111
1x + x2 = -0.01111

The x term is 1x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = -0.01111 + 0.25

Reorder the terms:
0.25 + x + x2 = -0.01111 + 0.25

Combine like terms: -0.01111 + 0.25 = 0.23889
0.25 + x + x2 = 0.23889

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 0.23889

Calculate the square root of the right side: 0.488763747

Break this problem into two subproblems by setting 
(x + 0.5) equal to 0.488763747 and -0.488763747.


Subproblem 1
x + 0.5 = 0.488763747

Simplifying
x + 0.5 = 0.488763747

Reorder the terms:
0.5 + x = 0.488763747

Solving
0.5 + x = 0.488763747

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 0.488763747 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 0.488763747 + -0.5
x = 0.488763747 + -0.5

Combine like terms: 0.488763747 + -0.5 = -0.011236253
x = -0.011236253

Simplifying
x = -0.011236253


Subproblem 2
x + 0.5 = -0.488763747

Simplifying
x + 0.5 = -0.488763747

Reorder the terms:
0.5 + x = -0.488763747

Solving
0.5 + x = -0.488763747

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -0.488763747 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -0.488763747 + -0.5
x = -0.488763747 + -0.5

Combine like terms: -0.488763747 + -0.5 = -0.988763747
x = -0.988763747

Simplifying
x = -0.988763747


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.011236253, -0.988763747}

See similar equations:

| Y=In(x-3) | | 9-4*-36= | | y=-1000+400x-2x^2 | | (c-17.7)+19.6=27.8 | | -7x-4+15x+9=0 | | 4n-3=53 | | 4*2-3*y=2 | | 5x^2=540 | | 9+-0.2(v-8)=0.3(6v-8) | | log[5](x+5)=3 | | f(x)=3*8+2 | | f(x)=3*6+2 | | f(6)=3*x+2 | | 6y^2-29y+20=0 | | 5(x-2)-3x=0 | | f(x)=.333x^2 | | 10p-(3p-4)=4(p+1) | | (9x-8)-(7x+4)=0 | | -4(5y-5)-y=2(y-3) | | -26y+20-y=-2y+6 | | 3x-6=-8+6x | | -7s=-448 | | -22y=440 | | 16k=560 | | 4x-60=16x | | 48-2w=4w | | (y^2-4)64=81 | | 4x-15=16x | | 9o=2o+42 | | 3(4r-7)-4(r+2)=0 | | 4x^2-8x-5x=0 | | y=5.21+0.4x |

Equations solver categories