3x^2+4x^2-35=0

Solution for 3x^2+4x^2-35=0 equation:

Simplifying
3x2 + 4x2 + -35 = 0

Reorder the terms:
-35 + 3x2 + 4x2 = 0

Combine like terms: 3x2 + 4x2 = 7x2
-35 + 7x2 = 0

Solving
-35 + 7x2 = 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 + 7x2 = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 7x2 = 0 + 35
7x2 = 0 + 35

Combine like terms: 0 + 35 = 35
7x2 = 35

Divide each side by '7'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}