(x+5)2-(x+5)(x-5)=

Solution for (x+5)2-(x+5)(x-5)= equation:

Simplifying
(x + 5) * 2 + -1(x + 5)(x + -5) = 0

Reorder the terms:
(5 + x) * 2 + -1(x + 5)(x + -5) = 0

Reorder the terms for easier multiplication:
2(5 + x) + -1(x + 5)(x + -5) = 0
(5 * 2 + x * 2) + -1(x + 5)(x + -5) = 0
(10 + 2x) + -1(x + 5)(x + -5) = 0

Reorder the terms:
10 + 2x + -1(5 + x)(x + -5) = 0

Reorder the terms:
10 + 2x + -1(5 + x)(-5 + x) = 0

Multiply (5 + x) * (-5 + x)
10 + 2x + -1(5(-5 + x) + x(-5 + x)) = 0
10 + 2x + -1((-5 * 5 + x * 5) + x(-5 + x)) = 0
10 + 2x + -1((-25 + 5x) + x(-5 + x)) = 0
10 + 2x + -1(-25 + 5x + (-5 * x + x * x)) = 0
10 + 2x + -1(-25 + 5x + (-5x + x2)) = 0

Combine like terms: 5x + -5x = 0
10 + 2x + -1(-25 + 0 + x2) = 0
10 + 2x + -1(-25 + x2) = 0
10 + 2x + (-25 * -1 + x2 * -1) = 0
10 + 2x + (25 + -1x2) = 0

Reorder the terms:
10 + 25 + 2x + -1x2 = 0

Combine like terms: 10 + 25 = 35
35 + 2x + -1x2 = 0

Solving
35 + 2x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -1x)(5 + x) = 0

Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

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

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

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

Simplifying
x = -5
Solution
x = {7, -5}