8x^2=3(x^2+15)

Solution for 8x^2=3(x^2+15) equation:

Simplifying
8x2 = 3(x2 + 15)

Reorder the terms:
8x2 = 3(15 + x2)
8x2 = (15 * 3 + x2 * 3)
8x2 = (45 + 3x2)

Solving
8x2 = 45 + 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.
8x2 + -3x2 = 45 + 3x2 + -3x2

Combine like terms: 8x2 + -3x2 = 5x2
5x2 = 45 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
5x2 = 45 + 0
5x2 = 45

Divide each side by '5'.
x2 = 9

Simplifying
x2 = 9

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