2x^2+3=75

Solution for 2x^2+3=75 equation:

Simplifying
2x2 + 3 = 75

Reorder the terms:
3 + 2x2 = 75

Solving
3 + 2x2 = 75

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 + 2x2 = 75 + -3

Combine like terms: 3 + -3 = 0
0 + 2x2 = 75 + -3
2x2 = 75 + -3

Combine like terms: 75 + -3 = 72
2x2 = 72

Divide each side by '2'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}