.6(.6)+2(.6)x+x(x)=1

Simple and best practice solution for .6(.6)+2(.6)x+x(x)=1 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 .6(.6)+2(.6)x+x(x)=1 equation: 


Simplifying
0.6(0.6) + 2(0.6) * x + x(x) = 1

Multiply 0.6 * 0.6
0.36 + 2(0.6) * x + x(x) = 1

Multiply 2 * 0.6
0.36 + 1.2x + x(x) = 1

Multiply x * x
0.36 + 1.2x + x2 = 1

Solving
0.36 + 1.2x + x2 = 1

Solving for variable 'x'.

Reorder the terms:
0.36 + -1 + 1.2x + x2 = 1 + -1

Combine like terms: 0.36 + -1 = -0.64
-0.64 + 1.2x + x2 = 1 + -1

Combine like terms: 1 + -1 = 0
-0.64 + 1.2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '0.64' to each side of the equation.
-0.64 + 1.2x + 0.64 + x2 = 0 + 0.64

Reorder the terms:
-0.64 + 0.64 + 1.2x + x2 = 0 + 0.64

Combine like terms: -0.64 + 0.64 = 0.00
0.00 + 1.2x + x2 = 0 + 0.64
1.2x + x2 = 0 + 0.64

Combine like terms: 0 + 0.64 = 0.64
1.2x + x2 = 0.64

The x term is 1.2x.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2x + 0.36 + x2 = 0.64 + 0.36

Reorder the terms:
0.36 + 1.2x + x2 = 0.64 + 0.36

Combine like terms: 0.64 + 0.36 = 1
0.36 + 1.2x + x2 = 1

Factor a perfect square on the left side:
(x + 0.6)(x + 0.6) = 1

Calculate the square root of the right side: 1

Break this problem into two subproblems by setting 
(x + 0.6) equal to 1 and -1.


Subproblem 1
x + 0.6 = 1

Simplifying
x + 0.6 = 1

Reorder the terms:
0.6 + x = 1

Solving
0.6 + x = 1

Solving for variable 'x'.

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

Add '-0.6' to each side of the equation.
0.6 + -0.6 + x = 1 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + x = 1 + -0.6
x = 1 + -0.6

Combine like terms: 1 + -0.6 = 0.4
x = 0.4

Simplifying
x = 0.4


Subproblem 2
x + 0.6 = -1

Simplifying
x + 0.6 = -1

Reorder the terms:
0.6 + x = -1

Solving
0.6 + x = -1

Solving for variable 'x'.

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

Add '-0.6' to each side of the equation.
0.6 + -0.6 + x = -1 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + x = -1 + -0.6
x = -1 + -0.6

Combine like terms: -1 + -0.6 = -1.6
x = -1.6

Simplifying
x = -1.6


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.4, -1.6}

See similar equations:

| 5.9=x/7.0 | | 10-4x=-9 | | 5(x-1)+4x=-32 | | 10x*x^2=133 | | 11x^2-20x-52=0 | | 2w+2(w+6)=248 | | Y=ln(6x+10) | | 20-4x=-6(x-5) | | .36(.36)+1.2x+x(x)=1 | | 82y+11y^2=48 | | 3y+1-y=2+y+1 | | 720x^2-845y^2=0 | | 14m-10=3(4+10) | | -7+7(x-7)=-91 | | (4x-5)(6x+3)= | | 2w+2(w+9)=270 | | 14y+5y^2=24 | | 1.8x+32=164 | | -6(x-2)+3=9-1(x+4) | | V=(3.14/3)r^2h | | -7b+34=-8+6(7+8b) | | 1/5y=-9 | | 60=(2x-8)+(3x-12) | | 12k^2-6k-9=0 | | a=9x-4 | | 5(u-1)-3=-3(-8u+1)-4u | | 3/9=5/x | | h=vt-16t(2) | | -1(-3y+4)=-19 | | 4n-8=3m+2 | | -5a+18+2a=6a-3a | | 15w-7w=64 |

Equations solver categories