2(5x^2)+3(5x^2+2)=50

Solution for 2(5x^2)+3(5x^2+2)=50 equation:

Simplifying
2(5x2) + 3(5x2 + 2) = 50

Remove parenthesis around (5x2)
2 * 5x2 + 3(5x2 + 2) = 50

Multiply 2 * 5
10x2 + 3(5x2 + 2) = 50

Reorder the terms:
10x2 + 3(2 + 5x2) = 50
10x2 + (2 * 3 + 5x2 * 3) = 50
10x2 + (6 + 15x2) = 50

Reorder the terms:
6 + 10x2 + 15x2 = 50

Combine like terms: 10x2 + 15x2 = 25x2
6 + 25x2 = 50

Solving
6 + 25x2 = 50

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 25x2 = 50 + -6

Combine like terms: 6 + -6 = 0
0 + 25x2 = 50 + -6
25x2 = 50 + -6

Combine like terms: 50 + -6 = 44
25x2 = 44

Divide each side by '25'.
x2 = 1.76

Simplifying
x2 = 1.76

Take the square root of each side:
x = {-1.326649916, 1.326649916}