3(x^2-8)+5x^2=48

Solution for 3(x^2-8)+5x^2=48 equation:

Simplifying
3(x2 + -8) + 5x2 = 48

Reorder the terms:
3(-8 + x2) + 5x2 = 48
(-8 * 3 + x2 * 3) + 5x2 = 48
(-24 + 3x2) + 5x2 = 48

Combine like terms: 3x2 + 5x2 = 8x2
-24 + 8x2 = 48

Solving
-24 + 8x2 = 48

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 8x2 = 48 + 24

Combine like terms: -24 + 24 = 0
0 + 8x2 = 48 + 24
8x2 = 48 + 24

Combine like terms: 48 + 24 = 72
8x2 = 72

Divide each side by '8'.
x2 = 9

Simplifying
x2 = 9

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