35=3x^2+5

Solution for 35=3x^2+5 equation:

Simplifying
35 = 3x2 + 5

Reorder the terms:
35 = 5 + 3x2

Solving
35 = 5 + 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.
35 + -3x2 = 5 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
35 + -3x2 = 5 + 0
35 + -3x2 = 5

Add '-35' to each side of the equation.
35 + -35 + -3x2 = 5 + -35

Combine like terms: 35 + -35 = 0
0 + -3x2 = 5 + -35
-3x2 = 5 + -35

Combine like terms: 5 + -35 = -30
-3x2 = -30

Divide each side by '-3'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}