(11x+5)(6x+18)=0

Simple and best practice solution for (11x+5)(6x+18)=0 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 (11x+5)(6x+18)=0 equation: 


Simplifying
(11x + 5)(6x + 18) = 0

Reorder the terms:
(5 + 11x)(6x + 18) = 0

Reorder the terms:
(5 + 11x)(18 + 6x) = 0

Multiply (5 + 11x) * (18 + 6x)
(5(18 + 6x) + 11x * (18 + 6x)) = 0
((18 * 5 + 6x * 5) + 11x * (18 + 6x)) = 0
((90 + 30x) + 11x * (18 + 6x)) = 0
(90 + 30x + (18 * 11x + 6x * 11x)) = 0
(90 + 30x + (198x + 66x2)) = 0

Combine like terms: 30x + 198x = 228x
(90 + 228x + 66x2) = 0

Solving
90 + 228x + 66x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(15 + 38x + 11x2) = 0

Factor a trinomial.
6((3 + x)(5 + 11x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

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

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

Simplifying
x = -3

Subproblem 2
Set the factor '(5 + 11x)' equal to zero and attempt to solve:

Simplifying
5 + 11x = 0

Solving
5 + 11x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 11x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 11x = 0 + -5
11x = 0 + -5

Combine like terms: 0 + -5 = -5
11x = -5

Divide each side by '11'.
x = -0.4545454545

Simplifying
x = -0.4545454545
Solution
x = {-3, -0.4545454545}

See similar equations:

| b^2-20=16 | | 2x^2+4x-44=0 | | 40.00+15.00x=205.00 | | -1+10i=-x+3yi | | -32=-7m-12+3m | | -3(4+6v)=-102 | | v^2-18v+80=0 | | 63a^3-43a^2+4a=0 | | 10y=11x+10 | | 1+7x+x=1 | | 8(-3x+2)=88 | | F(x)=5x^2-10x | | x-2(x+10)=12r | | 17=a(16)+2 | | x^4-48x^2-27=0 | | -2g+10=8g | | 3(4x-4)=12x-12 | | 45u^2+150uv+125y^2=0 | | 3(5-15x)=-75 | | (3/2)x=-3 | | 2x+3y=-32 | | 4x+14=2x+20 | | -9x-7x=3 | | -0.7y-0.6=-0.2y+3.5 | | 3(x-2)-4(x+3)=-10 | | ln(x-2)=11 | | 20+x/3=7 | | 6t-5=5t+7 | | 2.3w=4.6 | | 5y=9x-9 | | (x+3)(-6+x)=0 | | 1150+900+4x=650+400+8x |

Equations solver categories