(x+7)(2x)=520

Solution for (x+7)(2x)=520 equation:

Simplifying
(x + 7)(2x) = 520

Reorder the terms:
(7 + x)(2x) = 520

Remove parenthesis around (2x)
(7 + x) * 2x = 520

Reorder the terms for easier multiplication:
2x(7 + x) = 520
(7 * 2x + x * 2x) = 520
(14x + 2x2) = 520

Solving
14x + 2x2 = 520

Solving for variable 'x'.

Reorder the terms:
-520 + 14x + 2x2 = 520 + -520

Combine like terms: 520 + -520 = 0
-520 + 14x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-260 + 7x + x2) = 0

Factor a trinomial.
2((-20 + -1x)(13 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {-20, 13}