x^2+2x=0.01

Simple and best practice solution for x^2+2x=0.01 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+2x=0.01 equation:


Simplifying
x2 + 2x = 0.01

Reorder the terms:
2x + x2 = 0.01

Solving
2x + x2 = 0.01

Solving for variable 'x'.

Reorder the terms:
-0.01 + 2x + x2 = 0.01 + -0.01

Combine like terms: 0.01 + -0.01 = 0.00
-0.01 + 2x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '0.01' to each side of the equation.
-0.01 + 2x + 0.01 + x2 = 0.00 + 0.01

Reorder the terms:
-0.01 + 0.01 + 2x + x2 = 0.00 + 0.01

Combine like terms: -0.01 + 0.01 = 0.00
0.00 + 2x + x2 = 0.00 + 0.01
2x + x2 = 0.00 + 0.01

Combine like terms: 0.00 + 0.01 = 0.01
2x + x2 = 0.01

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = 0.01 + 1

Reorder the terms:
1 + 2x + x2 = 0.01 + 1

Combine like terms: 0.01 + 1 = 1.01
1 + 2x + x2 = 1.01

Factor a perfect square on the left side:
(x + 1)(x + 1) = 1.01

Calculate the square root of the right side: 1.004987562

Break this problem into two subproblems by setting 
(x + 1) equal to 1.004987562 and -1.004987562.

Subproblem 1

x + 1 = 1.004987562 Simplifying x + 1 = 1.004987562 Reorder the terms: 1 + x = 1.004987562 Solving 1 + x = 1.004987562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 1.004987562 + -1 Combine like terms: 1 + -1 = 0 0 + x = 1.004987562 + -1 x = 1.004987562 + -1 Combine like terms: 1.004987562 + -1 = 0.004987562 x = 0.004987562 Simplifying x = 0.004987562

Subproblem 2

x + 1 = -1.004987562 Simplifying x + 1 = -1.004987562 Reorder the terms: 1 + x = -1.004987562 Solving 1 + x = -1.004987562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -1.004987562 + -1 Combine like terms: 1 + -1 = 0 0 + x = -1.004987562 + -1 x = -1.004987562 + -1 Combine like terms: -1.004987562 + -1 = -2.004987562 x = -2.004987562 Simplifying x = -2.004987562

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.004987562, -2.004987562}

See similar equations:

| 3/5=12/m | | 3x+45=2x+51 | | y=2(x+1)-1 | | 3x+30=x+52 | | 6m=1800 | | 2x+53=3x+45 | | 6x+19=2x+77 | | 9/4*11/8 | | 2n=8/32 | | 8x+1=128x-3 | | -x+3=-16 | | 4x+2=-14whatisx | | -6(1-7k)+7(1+6k)=-2 | | 240=.25n | | 0=x^3+48x-64 | | 300=.25x | | -4x-1=x-36 | | 6+2y=10y-1 | | 4/10*11/2 | | 0.50x+.45(50)=26.5 | | x^3+48x-64=0 | | (4-z)(3z-7)=0 | | 8+3x=7x+0 | | 5tanx=0 | | C/5=300 | | 3-3(a-1)=1+a | | 7log(3x+4)=3 | | 7/3*5/4 | | 1/3*5/4 | | 1/33*5/4 | | 37a=9a+35 | | 12x-5+2x-3=11x-2+2x |

Equations solver categories