0.5*x*3x+3=84

Solution for 0.5*x*3x+3=84 equation:

Simplifying
0.5x * 3x + 3 = 84

Reorder the terms for easier multiplication:
0.5 * 3x * x + 3 = 84

Multiply 0.5 * 3
1.5x * x + 3 = 84

Multiply x * x
1.5x2 + 3 = 84

Reorder the terms:
3 + 1.5x2 = 84

Solving
3 + 1.5x2 = 84

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 + 1.5x2 = 84 + -3

Combine like terms: 3 + -3 = 0
0 + 1.5x2 = 84 + -3
1.5x2 = 84 + -3

Combine like terms: 84 + -3 = 81
1.5x2 = 81

Divide each side by '1.5'.
x2 = 54

Simplifying
x2 = 54

Take the square root of each side:
x = {-7.348469228, 7.348469228}