6x(x+2)-3=10x-2

Simple and best practice solution for 6x(x+2)-3=10x-2 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 6x(x+2)-3=10x-2 equation: 


Simplifying
6x(x + 2) + -3 = 10x + -2

Reorder the terms:
6x(2 + x) + -3 = 10x + -2
(2 * 6x + x * 6x) + -3 = 10x + -2
(12x + 6x2) + -3 = 10x + -2

Reorder the terms:
-3 + 12x + 6x2 = 10x + -2

Reorder the terms:
-3 + 12x + 6x2 = -2 + 10x

Solving
-3 + 12x + 6x2 = -2 + 10x

Solving for variable 'x'.

Reorder the terms:
-3 + 2 + 12x + -10x + 6x2 = -2 + 10x + 2 + -10x

Combine like terms: -3 + 2 = -1
-1 + 12x + -10x + 6x2 = -2 + 10x + 2 + -10x

Combine like terms: 12x + -10x = 2x
-1 + 2x + 6x2 = -2 + 10x + 2 + -10x

Reorder the terms:
-1 + 2x + 6x2 = -2 + 2 + 10x + -10x

Combine like terms: -2 + 2 = 0
-1 + 2x + 6x2 = 0 + 10x + -10x
-1 + 2x + 6x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-1 + 2x + 6x2 = 0

Begin completing the square.  Divide all terms by
6 the coefficient of the squared term: 

Divide each side by '6'.
-0.1666666667 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '0.1666666667' to each side of the equation.
-0.1666666667 + 0.3333333333x + 0.1666666667 + x2 = 0 + 0.1666666667

Reorder the terms:
-0.1666666667 + 0.1666666667 + 0.3333333333x + x2 = 0 + 0.1666666667

Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000
0.0000000000 + 0.3333333333x + x2 = 0 + 0.1666666667
0.3333333333x + x2 = 0 + 0.1666666667

Combine like terms: 0 + 0.1666666667 = 0.1666666667
0.3333333333x + x2 = 0.1666666667

The x term is 0.3333333333x.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333x + 0.02777777779 + x2 = 0.1666666667 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = 0.1666666667 + 0.02777777779

Combine like terms: 0.1666666667 + 0.02777777779 = 0.19444444449
0.02777777779 + 0.3333333333x + x2 = 0.19444444449

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = 0.19444444449

Calculate the square root of the right side: 0.440958552

Break this problem into two subproblems by setting 
(x + 0.1666666667) equal to 0.440958552 and -0.440958552.


Subproblem 1
x + 0.1666666667 = 0.440958552

Simplifying
x + 0.1666666667 = 0.440958552

Reorder the terms:
0.1666666667 + x = 0.440958552

Solving
0.1666666667 + x = 0.440958552

Solving for variable 'x'.

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

Add '-0.1666666667' to each side of the equation.
0.1666666667 + -0.1666666667 + x = 0.440958552 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + x = 0.440958552 + -0.1666666667
x = 0.440958552 + -0.1666666667

Combine like terms: 0.440958552 + -0.1666666667 = 0.2742918853
x = 0.2742918853

Simplifying
x = 0.2742918853


Subproblem 2
x + 0.1666666667 = -0.440958552

Simplifying
x + 0.1666666667 = -0.440958552

Reorder the terms:
0.1666666667 + x = -0.440958552

Solving
0.1666666667 + x = -0.440958552

Solving for variable 'x'.

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

Add '-0.1666666667' to each side of the equation.
0.1666666667 + -0.1666666667 + x = -0.440958552 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + x = -0.440958552 + -0.1666666667
x = -0.440958552 + -0.1666666667

Combine like terms: -0.440958552 + -0.1666666667 = -0.6076252187
x = -0.6076252187

Simplifying
x = -0.6076252187


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.2742918853, -0.6076252187}

See similar equations:

| x^2=(5/9)x | | 2x+6-4=x | | 3n+6-1/2n+10=36 | | 15+1/8=17 | | 3x-2=133 | | 1/9x^2 | | -4-9x=-5 | | 9(x+5)=-3(x+39) | | 1/2*n-9=2n-36 | | 6-5=1 | | 4(y+2)-3(y+1)=-1 | | 11x-35=24-61 | | 7(6x-1)+x=40 | | 3-4x=1-6x | | 5y+15y=60 | | 16n-6+3n+9=70 | | x+(3x+7)=27 | | 0.95=100/(x+10)^2 | | ax-ay+2bx-2by+3cx-3cy= | | x^(2/3)-2x^(1/3)-15=0 | | 3x^2+6x-7xy-14xy= | | 1/5(4-3x)=-1 | | (x+8)^2/3=125 | | 5+3(4x-4)=7(2x-1) | | 5(3+x)=15+5x | | (6t^2-t-7)(3t^2+6t-1)= | | 5x+2(x-4)=64 | | y=35x+1.6 | | -3(-x+21)=11x | | -4(x-5)=23x | | 4p+15= | | 100x-20+30+10= |

Equations solver categories