6x(x+9)=(5x-1)(x+9)

Simple and best practice solution for 6x(x+9)=(5x-1)(x+9) 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 6x(x+9)=(5x-1)(x+9) equation: 


Simplifying
6x(x + 9) = (5x + -1)(x + 9)

Reorder the terms:
6x(9 + x) = (5x + -1)(x + 9)
(9 * 6x + x * 6x) = (5x + -1)(x + 9)
(54x + 6x2) = (5x + -1)(x + 9)

Reorder the terms:
54x + 6x2 = (-1 + 5x)(x + 9)

Reorder the terms:
54x + 6x2 = (-1 + 5x)(9 + x)

Multiply (-1 + 5x) * (9 + x)
54x + 6x2 = (-1(9 + x) + 5x * (9 + x))
54x + 6x2 = ((9 * -1 + x * -1) + 5x * (9 + x))
54x + 6x2 = ((-9 + -1x) + 5x * (9 + x))
54x + 6x2 = (-9 + -1x + (9 * 5x + x * 5x))
54x + 6x2 = (-9 + -1x + (45x + 5x2))

Combine like terms: -1x + 45x = 44x
54x + 6x2 = (-9 + 44x + 5x2)

Solving
54x + 6x2 = -9 + 44x + 5x2

Solving for variable 'x'.

Reorder the terms:
9 + 54x + -44x + 6x2 + -5x2 = -9 + 44x + 5x2 + 9 + -44x + -5x2

Combine like terms: 54x + -44x = 10x
9 + 10x + 6x2 + -5x2 = -9 + 44x + 5x2 + 9 + -44x + -5x2

Combine like terms: 6x2 + -5x2 = 1x2
9 + 10x + 1x2 = -9 + 44x + 5x2 + 9 + -44x + -5x2

Reorder the terms:
9 + 10x + 1x2 = -9 + 9 + 44x + -44x + 5x2 + -5x2

Combine like terms: -9 + 9 = 0
9 + 10x + 1x2 = 0 + 44x + -44x + 5x2 + -5x2
9 + 10x + 1x2 = 44x + -44x + 5x2 + -5x2

Combine like terms: 44x + -44x = 0
9 + 10x + 1x2 = 0 + 5x2 + -5x2
9 + 10x + 1x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
9 + 10x + 1x2 = 0

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


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

Simplifying
9 + x = 0

Solving
9 + x = 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 + x = 0 + -9

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

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

Simplifying
x = -9

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

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {-9, -1}

See similar equations:

| y-2=-5/4x-5/4 | | 19y+10z=24000 | | 3x-1=125.5 | | 2(v-9)=-8v+22 | | .5s+9=39 | | 19x-28=x+80 | | X-11=xcub | | 21-2n=13 | | 19x+28=x+80 | | 2y+6=9(y+3) | | 4y-8=y+4 | | -2x+3=1-3 | | 2x+y=0.27 | | 12w+3=4w+21 | | 2x+3y-4z=10 | | -6q^2-7q+6=0 | | 5y+20=25 | | 5h-1=3h+11 | | 6+1v+5-v= | | 9p^2-3p=0 | | 3(p-3)-5p=3p-6 | | 19e+5=4e | | (X-3)(X+2)-(X-2)(X+3)=2 | | .5a+9=13 | | 7x+6y=128 | | Q=45*10*5 | | -7b-11=-46 | | 6h=102 | | 2y+x=0.21 | | 0.5r+2.75= | | 9d+2d+6d+8-6d=0 | | 4(m+4)+2=3(m+6) |

Equations solver categories