(3x+3)(x+2)=2

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


Simplifying
(3x + 3)(x + 2) = 2

Reorder the terms:
(3 + 3x)(x + 2) = 2

Reorder the terms:
(3 + 3x)(2 + x) = 2

Multiply (3 + 3x) * (2 + x)
(3(2 + x) + 3x * (2 + x)) = 2
((2 * 3 + x * 3) + 3x * (2 + x)) = 2
((6 + 3x) + 3x * (2 + x)) = 2
(6 + 3x + (2 * 3x + x * 3x)) = 2
(6 + 3x + (6x + 3x2)) = 2

Combine like terms: 3x + 6x = 9x
(6 + 9x + 3x2) = 2

Solving
6 + 9x + 3x2 = 2

Solving for variable 'x'.

Reorder the terms:
6 + -2 + 9x + 3x2 = 2 + -2

Combine like terms: 6 + -2 = 4
4 + 9x + 3x2 = 2 + -2

Combine like terms: 2 + -2 = 0
4 + 9x + 3x2 = 0

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

Divide each side by '3'.
1.333333333 + 3x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + 3x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + 3x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + 3x + x2 = 0 + -1.333333333
3x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
3x + x2 = -1.333333333

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -1.333333333 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -1.333333333 + 2.25

Combine like terms: -1.333333333 + 2.25 = 0.916666667
2.25 + 3x + x2 = 0.916666667

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 0.916666667

Calculate the square root of the right side: 0.957427108

Break this problem into two subproblems by setting 
(x + 1.5) equal to 0.957427108 and -0.957427108.

Subproblem 1

x + 1.5 = 0.957427108 Simplifying x + 1.5 = 0.957427108 Reorder the terms: 1.5 + x = 0.957427108 Solving 1.5 + x = 0.957427108 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 0.957427108 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 0.957427108 + -1.5 x = 0.957427108 + -1.5 Combine like terms: 0.957427108 + -1.5 = -0.542572892 x = -0.542572892 Simplifying x = -0.542572892

Subproblem 2

x + 1.5 = -0.957427108 Simplifying x + 1.5 = -0.957427108 Reorder the terms: 1.5 + x = -0.957427108 Solving 1.5 + x = -0.957427108 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = -0.957427108 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -0.957427108 + -1.5 x = -0.957427108 + -1.5 Combine like terms: -0.957427108 + -1.5 = -2.457427108 x = -2.457427108 Simplifying x = -2.457427108

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.542572892, -2.457427108}

See similar equations:

| 19*-21= | | 3(2a-4)=12 | | -5(p-5)+7(1-4p)=-8p+7p | | 2x+7=8x-23 | | 8(4-(5+2x))-4x=10+2(1-10x) | | 34m+12=36 | | 9x-41=2(2x-3) | | 0.51x+0.03=0.4x-0.74 | | 160=3x+25 | | 2-5x+3=3(x-4) | | (3x/x-1)=2 | | (2x-3)=(9-4x) | | 6x=8-9+6y | | -0.8t+.4=0.666666667 | | -2(5s-2)-4=-2(9s+10)-3 | | 3x/x-1=2 | | 30=0.5d-11.3 | | -15j-40=23-8j | | 7x-4=2-x+1+9x-5 | | v(v-6)=16 | | 2v-18=16-4(v+7) | | 4n+6=-142 | | 2c+7+c=-14+3c+2 | | 2x-6+x=18 | | 39-12h=7-16h | | 1X+18=99 | | x^2+6=2 | | 9y+18+5x=180 | | 2b^2-4b-24=0 | | 33m-7=26 | | 14+7x=20+5x | | 10x+30=70 |

Equations solver categories