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

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


Simplifying
x(x + 2) = 6(x + x + 2) + -1

Reorder the terms:
x(2 + x) = 6(x + x + 2) + -1
(2 * x + x * x) = 6(x + x + 2) + -1
(2x + x2) = 6(x + x + 2) + -1

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

Combine like terms: x + x = 2x
2x + x2 = 6(2 + 2x) + -1
2x + x2 = (2 * 6 + 2x * 6) + -1
2x + x2 = (12 + 12x) + -1

Reorder the terms:
2x + x2 = 12 + -1 + 12x

Combine like terms: 12 + -1 = 11
2x + x2 = 11 + 12x

Solving
2x + x2 = 11 + 12x

Solving for variable 'x'.

Reorder the terms:
-11 + 2x + -12x + x2 = 11 + 12x + -11 + -12x

Combine like terms: 2x + -12x = -10x
-11 + -10x + x2 = 11 + 12x + -11 + -12x

Reorder the terms:
-11 + -10x + x2 = 11 + -11 + 12x + -12x

Combine like terms: 11 + -11 = 0
-11 + -10x + x2 = 0 + 12x + -12x
-11 + -10x + x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-11 + -10x + x2 = 0

Factor a trinomial.
(-1 + -1x)(11 + -1x) = 0


Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1

Combine like terms: 0 + 1 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-1, 11}

See similar equations:

| 4.04/0.8 | | 3(n)=11+n | | x^4-12x^2+36= | | 89=5x-1 | | X-1/4-3=x-1/3 | | 14x-(7x-6)=48 | | -x-2=9(x-8) | | 3(5-z)/2=-z | | 3x^3-15x^2-72x=0 | | 20=-3x+8x | | -3-2x=19 | | 5(4+4x)-2(1-6x)=-78 | | (3x/10)=18 | | x+9+61=90 | | 6-(4+m)=8m-2(3m-5) | | 2x+3+59=90 | | m/-3=13 | | 2+2/p=-17 | | 3x+19=3+6x-8 | | 5x-8=40x+20 | | SolveN=A+ZforA | | 8x-4=-8x-20 | | -147=3(6k-1) | | 4(-8p+5)=32p-26 | | 7(x-1)-2=2x+5(-2+X) | | 26=3.5x+8 | | -3x+8x=20 | | -24+x+3x=180 | | (3/5)=(x-5)/(x+4) | | 5-2(9)=-13 | | 18=1+6n-1 | | 4=15x-11 |

Equations solver categories