3x^2+45=24x^2

Solution for 3x^2+45=24x^2 equation:

Simplifying
3x2 + 45 = 24x2

Reorder the terms:
45 + 3x2 = 24x2

Solving
45 + 3x2 = 24x2

Solving for variable 'x'.

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

Add '-24x2' to each side of the equation.
45 + 3x2 + -24x2 = 24x2 + -24x2

Combine like terms: 3x2 + -24x2 = -21x2
45 + -21x2 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
45 + -21x2 = 0

Add '-45' to each side of the equation.
45 + -45 + -21x2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -21x2 = 0 + -45
-21x2 = 0 + -45

Combine like terms: 0 + -45 = -45
-21x2 = -45

Divide each side by '-21'.
x2 = 2.142857143

Simplifying
x2 = 2.142857143

Take the square root of each side:
x = {-1.463850109, 1.463850109}