2x(x-8)=-x-18

Solution for 2x(x-8)=-x-18 equation:

Simplifying
2x(x + -8) = -1x + -18

Reorder the terms:
2x(-8 + x) = -1x + -18
(-8 * 2x + x * 2x) = -1x + -18
(-16x + 2x2) = -1x + -18

Reorder the terms:
-16x + 2x2 = -18 + -1x

Solving
-16x + 2x2 = -18 + -1x

Solving for variable 'x'.

Reorder the terms:
18 + -16x + x + 2x2 = -18 + -1x + 18 + x

Combine like terms: -16x + x = -15x
18 + -15x + 2x2 = -18 + -1x + 18 + x

Reorder the terms:
18 + -15x + 2x2 = -18 + 18 + -1x + x

Combine like terms: -18 + 18 = 0
18 + -15x + 2x2 = 0 + -1x + x
18 + -15x + 2x2 = -1x + x

Combine like terms: -1x + x = 0
18 + -15x + 2x2 = 0

Factor a trinomial.
(3 + -2x)(6 + -1x) = 0

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 '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {1.5, 6}