2x(x-4)+9(x-4)=0

Simple and best practice solution for 2x(x-4)+9(x-4)=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 2x(x-4)+9(x-4)=0 equation: 


Simplifying
2x(x + -4) + 9(x + -4) = 0

Reorder the terms:
2x(-4 + x) + 9(x + -4) = 0
(-4 * 2x + x * 2x) + 9(x + -4) = 0
(-8x + 2x2) + 9(x + -4) = 0

Reorder the terms:
-8x + 2x2 + 9(-4 + x) = 0
-8x + 2x2 + (-4 * 9 + x * 9) = 0
-8x + 2x2 + (-36 + 9x) = 0

Reorder the terms:
-36 + -8x + 9x + 2x2 = 0

Combine like terms: -8x + 9x = 1x
-36 + 1x + 2x2 = 0

Solving
-36 + 1x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -2x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-9 + -2x)' equal to zero and attempt to solve:

Simplifying
-9 + -2x = 0

Solving
-9 + -2x = 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 + -2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 0 + 9
-2x = 0 + 9

Combine like terms: 0 + 9 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-4.5, 4}

See similar equations:

| 182=X+2X+(X+182) | | x^2=-21 | | [(0.30*30)+(0.10*40)+(0.40*30)+(0.20*20)]= | | L=(2w+7) | | 2(2w+7)+2w=80 | | [(0.30*30)+(0.10*40)+(0.40*40)+(0.20*20)]= | | (0.30*30)+(0.10*40)+(0.40*40)+(0.20*20)= | | 2(2x+7)+2x=80 | | 0.30*30+0.10*40+0.40*40+0.20*20= | | (x+1)+(x+2)+(x+3)+(x+4)=66 | | 4y-28/5=-2y | | 2(x+60)+2x=600 | | =(7x+3y)(7x-3y) | | y-(y-6/6) | | =(7x-3y)(7x-3y) | | 5.13-3.34x=2x-1.545 | | 3(P-4)=30 | | 1.2x+10.4=3.1x-1 | | x=96/2w | | 2.1(1.79)=x | | 9y-2+y=5y+10 | | 2.1(1.79)= | | 5b+8=28 | | 4+2n-3=9n+7-6n | | 10a-10=12+8a | | -.571r+4r=.25r+22.25 | | -17.23-(-12.5)=x | | 24x+5=x-2 | | 5/9=1/8h | | X=15/tan27 | | Tan27=15/x | | -7x+5-7(5x^2+3)+10x^2= |

Equations solver categories