x(x+14)-20(x+14)=

Solution for x(x+14)-20(x+14)= equation:

Simplifying
x(x + 14) + -20(x + 14) = 0

Reorder the terms:
x(14 + x) + -20(x + 14) = 0
(14 * x + x * x) + -20(x + 14) = 0
(14x + x2) + -20(x + 14) = 0

Reorder the terms:
14x + x2 + -20(14 + x) = 0
14x + x2 + (14 * -20 + x * -20) = 0
14x + x2 + (-280 + -20x) = 0

Reorder the terms:
-280 + 14x + -20x + x2 = 0

Combine like terms: 14x + -20x = -6x
-280 + -6x + x2 = 0

Solving
-280 + -6x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-14 + -1x)(20 + -1x) = 0

Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-14, 20}