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

Solution for 2x(x-4)+9(x-4)= 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}