(x+9)(3x)=(x+9)(6)

Simple and best practice solution for (x+9)(3x)=(x+9)(6) 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+9)(3x)=(x+9)(6) equation: 


Simplifying
(x + 9)(3x) = (x + 9)(6)

Reorder the terms:
(9 + x)(3x) = (x + 9)(6)

Remove parenthesis around (3x)
(9 + x) * 3x = (x + 9)(6)

Reorder the terms for easier multiplication:
3x(9 + x) = (x + 9)(6)
(9 * 3x + x * 3x) = (x + 9)(6)
(27x + 3x2) = (x + 9)(6)

Reorder the terms:
27x + 3x2 = (9 + x)(6)

Reorder the terms for easier multiplication:
27x + 3x2 = 6(9 + x)
27x + 3x2 = (9 * 6 + x * 6)
27x + 3x2 = (54 + 6x)

Solving
27x + 3x2 = 54 + 6x

Solving for variable 'x'.

Reorder the terms:
-54 + 27x + -6x + 3x2 = 54 + 6x + -54 + -6x

Combine like terms: 27x + -6x = 21x
-54 + 21x + 3x2 = 54 + 6x + -54 + -6x

Reorder the terms:
-54 + 21x + 3x2 = 54 + -54 + 6x + -6x

Combine like terms: 54 + -54 = 0
-54 + 21x + 3x2 = 0 + 6x + -6x
-54 + 21x + 3x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-54 + 21x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-18 + 7x + x2) = 0

Factor a trinomial.
3((-9 + -1x)(2 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
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
Solution
x = {-9, 2}

See similar equations:

| 1=3(2m+5)+2(3m+5) | | 13=5+3*b-13 | | 5x-25-x-7=4x-32 | | 2/3(3x+3)=8 | | -2x-11+6x=4x | | 25x-49=26 | | 4(x-2)=(x+5) | | 8+3(3)=m | | 5d^2+49d-10=0 | | 5x^2+25x+6=0 | | 2325-49=26 | | 3=11x+24 | | T=3.66+4s | | -3(r-8)-8r=19-6r | | X=2(5-4) | | -8.84+1.1x=2.5x-1.7 | | 5m-(-4m-1)=-12 | | 8+3(1)=m | | 2(x+7)=1+2x | | 8x=9x+63 | | 153=3(-8a-5) | | 2c/4+3=5 | | 0.3(t-2)=-0.4t | | a+15=60 | | 10x-13=2(6x+1) | | 8(2w-1)-4w=116 | | 40+15+.25x=.35x+45 | | 4y+3(y-8)=8y-3(y-10) | | 5x-40-x-6=18 | | 17=s+5t | | -30+3n=-21 | | (3x-2)=4-6x |

Equations solver categories