35=0.5*470*x^2

Solution for 35=0.5*470*x^2 equation:

Simplifying
35 = 0.5 * 470x2

Multiply 0.5 * 470
35 = 235x2

Solving
35 = 235x2

Solving for variable 'x'.

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

Add '-235x2' to each side of the equation.
35 + -235x2 = 235x2 + -235x2

Combine like terms: 235x2 + -235x2 = 0
35 + -235x2 = 0

Add '-35' to each side of the equation.
35 + -35 + -235x2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -235x2 = 0 + -35
-235x2 = 0 + -35

Combine like terms: 0 + -35 = -35
-235x2 = -35

Divide each side by '-235'.
x2 = 0.1489361702

Simplifying
x2 = 0.1489361702

Take the square root of each side:
x = {-0.385922492, 0.385922492}