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

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


Simplifying
(-2 + -1x)(3x + -9) = 0

Reorder the terms:
(-2 + -1x)(-9 + 3x) = 0

Multiply (-2 + -1x) * (-9 + 3x)
(-2(-9 + 3x) + -1x * (-9 + 3x)) = 0
((-9 * -2 + 3x * -2) + -1x * (-9 + 3x)) = 0
((18 + -6x) + -1x * (-9 + 3x)) = 0
(18 + -6x + (-9 * -1x + 3x * -1x)) = 0
(18 + -6x + (9x + -3x2)) = 0

Combine like terms: -6x + 9x = 3x
(18 + 3x + -3x2) = 0

Solving
18 + 3x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + x + -1x2) = 0

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

Ignore the factor 3.

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

Simplifying
3 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2
Solution
x = {3, -2}

See similar equations:

| (m-2)(m-3)+(m-2)(m+4)= | | (2y-8)-y=28 | | 5y(c^2+1)+(c^2+1)(r^2+1)= | | 3/10n-4/5 | | p(2q+r+s)-2q-r-s= | | (a+3)(b+1)-b-1= | | 8x^2-12n-80=0 | | 2m(a-1)-3y(a-1)+z(a-1)= | | 7x-2y=-34 | | 7+2g=20 | | (3x+72)=6x | | 0=2x^2-7x+3 | | 12-2*-16+5*4=x | | 2+a-2=4-2a | | F(x)=-4x^2-10x-2 | | 8=-12x+7 | | y=2(25) | | (x+4)+(x+7)=70 | | 10x^2-32x+22=0 | | -5/y/=-25 | | X/3=(1/2x)-1 | | 32-5w=3v+8 | | 5x-2(2x)=25 | | -3+2r=-1 | | (x+4)+(x-6)= | | X/3=(1/2u)-1 | | (1+3b)(y+1)-2a(y+1)+3(y+1)= | | 6.597+2.465= | | x(b+2)-b-2+3(b+2)= | | 11x=124 | | 24.076+3.547= | | .02/.015 |

Equations solver categories