10(x+2)(x+1)=3(3x+2)(2x+1)

Simple and best practice solution for 10(x+2)(x+1)=3(3x+2)(2x+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 10(x+2)(x+1)=3(3x+2)(2x+1) equation: 


Simplifying
10(x + 2)(x + 1) = 3(3x + 2)(2x + 1)

Reorder the terms:
10(2 + x)(x + 1) = 3(3x + 2)(2x + 1)

Reorder the terms:
10(2 + x)(1 + x) = 3(3x + 2)(2x + 1)

Multiply (2 + x) * (1 + x)
10(2(1 + x) + x(1 + x)) = 3(3x + 2)(2x + 1)
10((1 * 2 + x * 2) + x(1 + x)) = 3(3x + 2)(2x + 1)
10((2 + 2x) + x(1 + x)) = 3(3x + 2)(2x + 1)
10(2 + 2x + (1 * x + x * x)) = 3(3x + 2)(2x + 1)
10(2 + 2x + (1x + x2)) = 3(3x + 2)(2x + 1)

Combine like terms: 2x + 1x = 3x
10(2 + 3x + x2) = 3(3x + 2)(2x + 1)
(2 * 10 + 3x * 10 + x2 * 10) = 3(3x + 2)(2x + 1)
(20 + 30x + 10x2) = 3(3x + 2)(2x + 1)

Reorder the terms:
20 + 30x + 10x2 = 3(2 + 3x)(2x + 1)

Reorder the terms:
20 + 30x + 10x2 = 3(2 + 3x)(1 + 2x)

Multiply (2 + 3x) * (1 + 2x)
20 + 30x + 10x2 = 3(2(1 + 2x) + 3x * (1 + 2x))
20 + 30x + 10x2 = 3((1 * 2 + 2x * 2) + 3x * (1 + 2x))
20 + 30x + 10x2 = 3((2 + 4x) + 3x * (1 + 2x))
20 + 30x + 10x2 = 3(2 + 4x + (1 * 3x + 2x * 3x))
20 + 30x + 10x2 = 3(2 + 4x + (3x + 6x2))

Combine like terms: 4x + 3x = 7x
20 + 30x + 10x2 = 3(2 + 7x + 6x2)
20 + 30x + 10x2 = (2 * 3 + 7x * 3 + 6x2 * 3)
20 + 30x + 10x2 = (6 + 21x + 18x2)

Solving
20 + 30x + 10x2 = 6 + 21x + 18x2

Solving for variable 'x'.

Reorder the terms:
20 + -6 + 30x + -21x + 10x2 + -18x2 = 6 + 21x + 18x2 + -6 + -21x + -18x2

Combine like terms: 20 + -6 = 14
14 + 30x + -21x + 10x2 + -18x2 = 6 + 21x + 18x2 + -6 + -21x + -18x2

Combine like terms: 30x + -21x = 9x
14 + 9x + 10x2 + -18x2 = 6 + 21x + 18x2 + -6 + -21x + -18x2

Combine like terms: 10x2 + -18x2 = -8x2
14 + 9x + -8x2 = 6 + 21x + 18x2 + -6 + -21x + -18x2

Reorder the terms:
14 + 9x + -8x2 = 6 + -6 + 21x + -21x + 18x2 + -18x2

Combine like terms: 6 + -6 = 0
14 + 9x + -8x2 = 0 + 21x + -21x + 18x2 + -18x2
14 + 9x + -8x2 = 21x + -21x + 18x2 + -18x2

Combine like terms: 21x + -21x = 0
14 + 9x + -8x2 = 0 + 18x2 + -18x2
14 + 9x + -8x2 = 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
14 + 9x + -8x2 = 0

Factor a trinomial.
(2 + -1x)(7 + 8x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(7 + 8x)' equal to zero and attempt to solve:

Simplifying
7 + 8x = 0

Solving
7 + 8x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = 0 + -7
8x = 0 + -7

Combine like terms: 0 + -7 = -7
8x = -7

Divide each side by '8'.
x = -0.875

Simplifying
x = -0.875
Solution
x = {2, -0.875}

See similar equations:

| 8-8.7=-6.1 | | 3x-x-1=2 | | 5x/x-85 | | (3/4)/(2/3)=x | | (34)/(2/3)=x | | s-8/7=6/7 | | 5-4/6=b/2 | | 2x+x+1=7 | | ln(4x+3y^2)=10 | | x^2-3x+1.23=0 | | s-7/8=6/7 | | -24+7=-10 | | (mx^2+5)(2x^2+3x+4)-(8x^4+20x^3)=2x^4-5x^3+30x^2+15x+20 | | 8+3y=19 | | 6p=34250 | | (4x^2+2x-7)+(2x^2-3x+5)=equation | | 7-4=45 | | 20=20l+6 | | -1/6x12 | | 923=16t^2 | | 5x+3x+7=-9 | | Inx^2=6 | | x=15-8/3 | | 4s+11s=12 | | x=15-(8/3) | | 0.5x+3=0.125 | | -2+6-5x=-71 | | 4x-5x+9=0 | | (x-4)/5=(x-7)/2 | | (8+u)(3u-1)=0 | | -5(c+4)=15 | | 0.5=0.3682x+0.35 |

Equations solver categories