5*(x^2-3)=72

Solution for 5*(x^2-3)=72 equation:

Simplifying
5(x2 + -3) = 72

Reorder the terms:
5(-3 + x2) = 72
(-3 * 5 + x2 * 5) = 72
(-15 + 5x2) = 72

Solving
-15 + 5x2 = 72

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 5x2 = 72 + 15

Combine like terms: -15 + 15 = 0
0 + 5x2 = 72 + 15
5x2 = 72 + 15

Combine like terms: 72 + 15 = 87
5x2 = 87

Divide each side by '5'.
x2 = 17.4

Simplifying
x2 = 17.4

Take the square root of each side:
x = {-4.171330723, 4.171330723}