45=2(4+X^2)+19

Solution for 45=2(4+X^2)+19 equation:

Simplifying
45 = 2(4 + X2) + 19
45 = (4 * 2 + X2 * 2) + 19
45 = (8 + 2X2) + 19

Reorder the terms:
45 = 8 + 19 + 2X2

Combine like terms: 8 + 19 = 27
45 = 27 + 2X2

Solving
45 = 27 + 2X2

Solving for variable 'X'.

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

Add '-2X2' to each side of the equation.
45 + -2X2 = 27 + 2X2 + -2X2

Combine like terms: 2X2 + -2X2 = 0
45 + -2X2 = 27 + 0
45 + -2X2 = 27

Add '-45' to each side of the equation.
45 + -45 + -2X2 = 27 + -45

Combine like terms: 45 + -45 = 0
0 + -2X2 = 27 + -45
-2X2 = 27 + -45

Combine like terms: 27 + -45 = -18
-2X2 = -18

Divide each side by '-2'.
X2 = 9

Simplifying
X2 = 9

Take the square root of each side:
X = {-3, 3}