Verified Answer :

Simplifying
5x2 + -35 = 0

Reorder the terms:
-35 + 5x2 = 0

Solving
-35 + 5x2 = 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 + 5x2 = 0 + 35

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

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

Divide each side by '5'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}