24=3(x^2+7)

Solution for 24=3(x^2+7) equation:

Simplifying
24 = 3(x2 + 7)

Reorder the terms:
24 = 3(7 + x2)
24 = (7 * 3 + x2 * 3)
24 = (21 + 3x2)

Solving
24 = 21 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
24 + -3x2 = 21 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
24 + -3x2 = 21 + 0
24 + -3x2 = 21

Add '-24' to each side of the equation.
24 + -24 + -3x2 = 21 + -24

Combine like terms: 24 + -24 = 0
0 + -3x2 = 21 + -24
-3x2 = 21 + -24

Combine like terms: 21 + -24 = -3
-3x2 = -3

Divide each side by '-3'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}