2(x+5)(5-x)=10

Solution for 2(x+5)(5-x)=10 equation:

Simplifying
2(x + 5)(5 + -1x) = 10

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

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

Combine like terms: -5x + 5x = 0
2(25 + 0 + -1x2) = 10
2(25 + -1x2) = 10
(25 * 2 + -1x2 * 2) = 10
(50 + -2x2) = 10

Solving
50 + -2x2 = 10

Solving for variable 'x'.

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

Add '-50' to each side of the equation.
50 + -50 + -2x2 = 10 + -50

Combine like terms: 50 + -50 = 0
0 + -2x2 = 10 + -50
-2x2 = 10 + -50

Combine like terms: 10 + -50 = -40
-2x2 = -40

Divide each side by '-2'.
x2 = 20

Simplifying
x2 = 20

Take the square root of each side:
x = {-4.472135955, 4.472135955}