18=-2(x-5)14x

Solution for 18=-2(x-5)14x equation:

Simplifying
18 = -2(x + -5) * 14x

Reorder the terms:
18 = -2(-5 + x) * 14x

Reorder the terms for easier multiplication:
18 = -2 * 14x(-5 + x)

Multiply -2 * 14
18 = -28x(-5 + x)
18 = (-5 * -28x + x * -28x)
18 = (140x + -28x2)

Solving
18 = 140x + -28x2

Solving for variable 'x'.

Reorder the terms:
18 + -140x + 28x2 = 140x + -140x + -28x2 + 28x2

Combine like terms: 140x + -140x = 0
18 + -140x + 28x2 = 0 + -28x2 + 28x2
18 + -140x + 28x2 = -28x2 + 28x2

Combine like terms: -28x2 + 28x2 = 0
18 + -140x + 28x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -70x + 14x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(9 + -70x + 14x2)' equal to zero and attempt to solve:

Simplifying
9 + -70x + 14x2 = 0

Solving
9 + -70x + 14x2 = 0

Begin completing the square.  Divide all terms by
14 the coefficient of the squared term: 

Divide each side by '14'.
0.6428571429 + -5x + x2 = 0

Move the constant term to the right:

Add '-0.6428571429' to each side of the equation.
0.6428571429 + -5x + -0.6428571429 + x2 = 0 + -0.6428571429

Reorder the terms:
0.6428571429 + -0.6428571429 + -5x + x2 = 0 + -0.6428571429

Combine like terms: 0.6428571429 + -0.6428571429 = 0.0000000000
0.0000000000 + -5x + x2 = 0 + -0.6428571429
-5x + x2 = 0 + -0.6428571429

Combine like terms: 0 + -0.6428571429 = -0.6428571429
-5x + x2 = -0.6428571429

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -0.6428571429 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -0.6428571429 + 6.25

Combine like terms: -0.6428571429 + 6.25 = 5.6071428571
6.25 + -5x + x2 = 5.6071428571

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 5.6071428571

Calculate the square root of the right side: 2.367940636

Break this problem into two subproblems by setting 
(x + -2.5) equal to 2.367940636 and -2.367940636.

Subproblem 1
x + -2.5 = 2.367940636

Simplifying
x + -2.5 = 2.367940636

Reorder the terms:
-2.5 + x = 2.367940636

Solving
-2.5 + x = 2.367940636

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = 2.367940636 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 2.367940636 + 2.5
x = 2.367940636 + 2.5

Combine like terms: 2.367940636 + 2.5 = 4.867940636
x = 4.867940636

Simplifying
x = 4.867940636

Subproblem 2
x + -2.5 = -2.367940636

Simplifying
x + -2.5 = -2.367940636

Reorder the terms:
-2.5 + x = -2.367940636

Solving
-2.5 + x = -2.367940636

Solving for variable 'x'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = -2.367940636 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -2.367940636 + 2.5
x = -2.367940636 + 2.5

Combine like terms: -2.367940636 + 2.5 = 0.132059364
x = 0.132059364

Simplifying
x = 0.132059364

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.867940636, 0.132059364}
Solution
x = {4.867940636, 0.132059364}