(3x+9)(6x+9)=0

Simple and best practice solution for (3x+9)(6x+9)=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 (3x+9)(6x+9)=0 equation: 


Simplifying
(3x + 9)(6x + 9) = 0

Reorder the terms:
(9 + 3x)(6x + 9) = 0

Reorder the terms:
(9 + 3x)(9 + 6x) = 0

Multiply (9 + 3x) * (9 + 6x)
(9(9 + 6x) + 3x * (9 + 6x)) = 0
((9 * 9 + 6x * 9) + 3x * (9 + 6x)) = 0
((81 + 54x) + 3x * (9 + 6x)) = 0
(81 + 54x + (9 * 3x + 6x * 3x)) = 0
(81 + 54x + (27x + 18x2)) = 0

Combine like terms: 54x + 27x = 81x
(81 + 81x + 18x2) = 0

Solving
81 + 81x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(9 + 9x + 2x2) = 0

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

Ignore the factor 9.

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 '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {-3, -1.5}

See similar equations:

| 5(y+7)-8(3y-7)=-19y+2 | | 4x-19x=105 | | 12s^2+13s-35=0 | | 5.5a+2=10.5 | | -6+5b=6b | | -5v+25=2(v+2) | | 2x^2-7x+5= | | -(d+12)-3=8 | | 36x^2+28x=0 | | 9u=v | | 2-8m-5=11 | | -237=-3(15+4a) | | F(-4a)= | | 3(x+2)6(-3-x)=4(2x-1) | | 16+2y=9 | | 43-3x+3= | | -8x+12=20 | | -3(2x+7)=-75 | | 3x+6-18-6x=8x-4 | | 3y^2-2y-1= | | -8+12=20 | | 3x-43+3= | | y-7+10-4x+6x+2y= | | (8k-1)(4k-3)=0 | | 126=2x+2(2x-6) | | 5x+7=75 | | (4c+2g)(4c-2g)=0 | | 2x^2-8x+8=0 | | 8x+6-3x-8+2y-6y= | | 7(k-6)+8=-13 | | 0.2(500-2.3x)=3.8(3x-3000) | | 2k^2-18= |

Equations solver categories