(x+9)(3x-2)=0

Simple and best practice solution for (x+9)(3x-2)=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 (x+9)(3x-2)=0 equation: 


Simplifying
(x + 9)(3x + -2) = 0

Reorder the terms:
(9 + x)(3x + -2) = 0

Reorder the terms:
(9 + x)(-2 + 3x) = 0

Multiply (9 + x) * (-2 + 3x)
(9(-2 + 3x) + x(-2 + 3x)) = 0
((-2 * 9 + 3x * 9) + x(-2 + 3x)) = 0
((-18 + 27x) + x(-2 + 3x)) = 0
(-18 + 27x + (-2 * x + 3x * x)) = 0
(-18 + 27x + (-2x + 3x2)) = 0

Combine like terms: 27x + -2x = 25x
(-18 + 25x + 3x2) = 0

Solving
-18 + 25x + 3x2 = 0

Solving for variable 'x'.

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


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

Simplifying
2 + -3x = 0

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

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

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

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-9, 0.6666666667}

See similar equations:

| 4-12*x=3 | | 5x+7y=-49 | | fx-3=13-3x | | 1/4(2x-3)=4 | | 6(5-4x)=6 | | (5x+7)(7x-4)=0 | | -11=3(1+6n)-4(5n+2) | | -4xy^2=2xy | | 5x-1=2x-11 | | 6y-3=-8+y | | 2(x-4)+6=8+4x+2 | | 4x^2+11x-20= | | 12x^2+17x+5= | | (2x+9)(5x-3)=0 | | (9x+8)(7x^2+4x+7)= | | 8000=h+100+h | | 0.07x+0.38=0.16-0.05x | | 10-(x+9)=6x-6 | | 8x+5x+3y=26 | | -a-3+7=39 | | 0.08x+0.04(x-1100)=172 | | 16-(n-8)=3n+14-2n | | (t^2)+4t=7 | | 4(y+1)=-1 | | 1/2*20*x+2=30 | | 12-(-3t)+6t-18= | | (4x-1)(2x+1)=0 | | -10+6p=110 | | 4(3+f)+6f=24 | | x^2+7x+30= | | 3-x=3 | | 3(2x-4)+2x+5+4(2x-3)=13 |

Equations solver categories