4x^2+3=85

Solution for 4x^2+3=85 equation:

Simplifying
4x2 + 3 = 85

Reorder the terms:
3 + 4x2 = 85

Solving
3 + 4x2 = 85

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 4x2 = 85 + -3

Combine like terms: 3 + -3 = 0
0 + 4x2 = 85 + -3
4x2 = 85 + -3

Combine like terms: 85 + -3 = 82
4x2 = 82

Divide each side by '4'.
x2 = 20.5

Simplifying
x2 = 20.5

Take the square root of each side:
x = {-4.527692569, 4.527692569}