(1+X)*X=1.10

Simple and best practice solution for (1+X)*X=1.10 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 (1+X)*X=1.10 equation: 


Simplifying
(1 + X) * X = 1.10

Reorder the terms for easier multiplication:
X(1 + X) = 1.10
(1 * X + X * X) = 1.10
(1X + X2) = 1.10

Solving
1X + X2 = 1.10

Solving for variable 'X'.

Reorder the terms:
-1.10 + 1X + X2 = 1.10 + -1.10

Combine like terms: 1.10 + -1.10 = 0.00
-1.10 + 1X + X2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '1.10' to each side of the equation.
-1.10 + 1X + 1.10 + X2 = 0.00 + 1.10

Reorder the terms:
-1.10 + 1.10 + 1X + X2 = 0.00 + 1.10

Combine like terms: -1.10 + 1.10 = 0.00
0.00 + 1X + X2 = 0.00 + 1.10
1X + X2 = 0.00 + 1.10

Combine like terms: 0.00 + 1.10 = 1.1
1X + X2 = 1.1

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 = 1.1 + 0.25

Reorder the terms:
0.25 + X + X2 = 1.1 + 0.25

Combine like terms: 1.1 + 0.25 = 1.35
0.25 + X + X2 = 1.35

Factor a perfect square on the left side:
(X + 0.5)(X + 0.5) = 1.35

Calculate the square root of the right side: 1.161895004

Break this problem into two subproblems by setting 
(X + 0.5) equal to 1.161895004 and -1.161895004.


Subproblem 1
X + 0.5 = 1.161895004

Simplifying
X + 0.5 = 1.161895004

Reorder the terms:
0.5 + X = 1.161895004

Solving
0.5 + X = 1.161895004

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 = 1.161895004 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + X = 1.161895004 + -0.5
X = 1.161895004 + -0.5

Combine like terms: 1.161895004 + -0.5 = 0.661895004
X = 0.661895004

Simplifying
X = 0.661895004


Subproblem 2
X + 0.5 = -1.161895004

Simplifying
X + 0.5 = -1.161895004

Reorder the terms:
0.5 + X = -1.161895004

Solving
0.5 + X = -1.161895004

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 = -1.161895004 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + X = -1.161895004 + -0.5
X = -1.161895004 + -0.5

Combine like terms: -1.161895004 + -0.5 = -1.661895004
X = -1.661895004

Simplifying
X = -1.661895004


Solution
The solution to the problem is based on the solutions
from the subproblems.
X = {0.661895004, -1.661895004}

See similar equations:

| -9=4.5x | | -4x+10=5y | | 41.00x4/7 | | 0.333b-3=b+9 | | 12-b=(3+b/2)-12 | | 12-b=(3+2b)-12 | | 12-b=(3+.5b)-12 | | 12-b=3+.5b-12 | | x^2+56x+85=0 | | -(x+4)-3=(-x-4)-3 | | 3(1.8)-4=5-2(1.8) | | -3a^2-18a-48=0 | | 3x-4=5-2x | | -3a-18a-48=0 | | 12=(x/2)+3 | | 12=.5x+3 | | -9.1f=130.585 | | 12=x/2+3 | | 12=3+(x/2) | | 9-5x+2=7-6x+3(2x-7) | | 12=3+(x/.5) | | 12=3+(2x) | | 12=(3+2x) | | 12=(3+2x)/2 | | 12=(3+2x)2 | | X=842-63 | | 12=(3+x)2 | | -3a/a+4-6/a-8=0 | | (x^2-16)(x+3)=0 | | 6y^2-66y-72=0 | | 12=(3+x)/2 | | 12=(3+x)*.5 |

Equations solver categories