3x*(x+5)+(3x+1)*(x-1)=18

Simple and best practice solution for 3x*(x+5)+(3x+1)*(x-1)=18 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 3x*(x+5)+(3x+1)*(x-1)=18 equation: 


Simplifying
3x(x + 5) + (3x + 1)(x + -1) = 18

Reorder the terms:
3x(5 + x) + (3x + 1)(x + -1) = 18
(5 * 3x + x * 3x) + (3x + 1)(x + -1) = 18
(15x + 3x2) + (3x + 1)(x + -1) = 18

Reorder the terms:
15x + 3x2 + (1 + 3x)(x + -1) = 18

Reorder the terms:
15x + 3x2 + (1 + 3x)(-1 + x) = 18

Multiply (1 + 3x) * (-1 + x)
15x + 3x2 + (1(-1 + x) + 3x * (-1 + x)) = 18
15x + 3x2 + ((-1 * 1 + x * 1) + 3x * (-1 + x)) = 18
15x + 3x2 + ((-1 + 1x) + 3x * (-1 + x)) = 18
15x + 3x2 + (-1 + 1x + (-1 * 3x + x * 3x)) = 18
15x + 3x2 + (-1 + 1x + (-3x + 3x2)) = 18

Combine like terms: 1x + -3x = -2x
15x + 3x2 + (-1 + -2x + 3x2) = 18

Reorder the terms:
-1 + 15x + -2x + 3x2 + 3x2 = 18

Combine like terms: 15x + -2x = 13x
-1 + 13x + 3x2 + 3x2 = 18

Combine like terms: 3x2 + 3x2 = 6x2
-1 + 13x + 6x2 = 18

Solving
-1 + 13x + 6x2 = 18

Solving for variable 'x'.

Reorder the terms:
-1 + -18 + 13x + 6x2 = 18 + -18

Combine like terms: -1 + -18 = -19
-19 + 13x + 6x2 = 18 + -18

Combine like terms: 18 + -18 = 0
-19 + 13x + 6x2 = 0

Factor a trinomial.
(-19 + -6x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-19 + -6x)' equal to zero and attempt to solve:

Simplifying
-19 + -6x = 0

Solving
-19 + -6x = 0

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

Add '19' to each side of the equation.
-19 + 19 + -6x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -6x = 0 + 19
-6x = 0 + 19

Combine like terms: 0 + 19 = 19
-6x = 19

Divide each side by '-6'.
x = -3.166666667

Simplifying
x = -3.166666667

Subproblem 2
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
Solution
x = {-3.166666667, 1}

See similar equations:

| 3=-12c+6 | | X(3+y)=8 | | 4b-6=-10 | | -9p+18=99 | | 80=90x-120 | | -7b+35=-7(4b-5) | | -21-b=6(2b+3) | | 3x-21=-42 | | 14-5b=-2(1+7b)-2 | | 4x^2+15x-1=18 | | 4(h-12)=44 | | 8p+2=-54 | | -7(n-3)+2n=-4n+26 | | -7m-12=-40 | | -2(x+8)+5=-23+x | | 7m-20=15 | | 7x+35=180 | | 72+6x=11(14x+20) | | 7m-24=-24 | | 72+6x=11(14x+50) | | -6x-19=-1 | | 8/9-4/5 | | 2/4/-1/2 | | -6(8n+14)-16n=-18n+54 | | -4x-22=6 | | -7m+11=53 | | 5X-19=-21 | | 12=x-(-2) | | -12=-6+3y | | 5/7=3/x | | -10k=20(1-10k)-20 | | -13m-16=36 |

Equations solver categories