2x*x+3=78

Solution for 2x*x+3=78 equation:

Simplifying
2x * x + 3 = 78

Multiply x * x
2x2 + 3 = 78

Reorder the terms:
3 + 2x2 = 78

Solving
3 + 2x2 = 78

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 = 78 + -3

Combine like terms: 3 + -3 = 0
0 + 2x2 = 78 + -3
2x2 = 78 + -3

Combine like terms: 78 + -3 = 75
2x2 = 75

Divide each side by '2'.
x2 = 37.5

Simplifying
x2 = 37.5

Take the square root of each side:
x = {-6.123724357, 6.123724357}