24x^2+9x^2-35=0

Solution for 24x^2+9x^2-35=0 equation:

Simplifying
24x2 + 9x2 + -35 = 0

Reorder the terms:
-35 + 24x2 + 9x2 = 0

Combine like terms: 24x2 + 9x2 = 33x2
-35 + 33x2 = 0

Solving
-35 + 33x2 = 0

Solving for variable 'x'.

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

Add '35' to each side of the equation.
-35 + 35 + 33x2 = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 33x2 = 0 + 35
33x2 = 0 + 35

Combine like terms: 0 + 35 = 35
33x2 = 35

Divide each side by '33'.
x2 = 1.060606061

Simplifying
x2 = 1.060606061

Take the square root of each side:
x = {-1.029857301, 1.029857301}