x*2x+3=65

Solution for x*2x+3=65 equation:

Simplifying
x * 2x + 3 = 65

Reorder the terms for easier multiplication:
2x * x + 3 = 65

Multiply x * x
2x2 + 3 = 65

Reorder the terms:
3 + 2x2 = 65

Solving
3 + 2x2 = 65

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 = 65 + -3

Combine like terms: 3 + -3 = 0
0 + 2x2 = 65 + -3
2x2 = 65 + -3

Combine like terms: 65 + -3 = 62
2x2 = 62

Divide each side by '2'.
x2 = 31

Simplifying
x2 = 31

Take the square root of each side:
x = {-5.567764363, 5.567764363}