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

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


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

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

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

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

Combine like terms: -18x + 81x = 63x
(-27 + 63x + 54x2) = 0

Solving
-27 + 63x + 54x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-3 + 7x + 6x2) = 0

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

Ignore the factor 9.

Subproblem 1
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

Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {-1.5, 0.3333333333}

See similar equations:

| 2.2k-5=2(1.4x+3) | | 30x+4=25x-1 | | 20x^2-48x-5=0 | | 11+2q=2q+8 | | 2(a-1)=3(g+1) | | 7+I= | | x^2+3x-7=10 | | 2x-(3x+6)=17 | | 3s^2+6s+5=365 | | 5a-8=2a+7 | | 3.2+2.6=-23 | | s^2+3s=120 | | 15+x=125 | | 13x-8=7x+40 | | a^2+8a=0 | | x^2+8x+2=-10 | | 2x^2=4x+1 | | 2(3X-5)=8 | | 3y+2x=6 | | (b-2)(b+1)= | | x+x+2+x+x+2=x+x+6+x+4 | | 4x^3+20x^2+16x= | | 6-5a=-29 | | x^2-10x+5=18 | | 9b^2-65b+14=0 | | 2x+2(x+20)=x+55+x+15+x+50 | | 8n^2-2=286 | | 8n^2-288=0 | | ht=16t^2+72t | | 7-4x-5-10x=4 | | -(1+5n)+4=-7+4(n+7) | | ht=16t^2+72x |

Equations solver categories