x*2x-5=12

Solution for x*2x-5=12 equation:

Simplifying
x * 2x + -5 = 12

Reorder the terms for easier multiplication:
2x * x + -5 = 12

Multiply x * x
2x2 + -5 = 12

Reorder the terms:
-5 + 2x2 = 12

Solving
-5 + 2x2 = 12

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 2x2 = 12 + 5

Combine like terms: -5 + 5 = 0
0 + 2x2 = 12 + 5
2x2 = 12 + 5

Combine like terms: 12 + 5 = 17
2x2 = 17

Divide each side by '2'.
x2 = 8.5

Simplifying
x2 = 8.5

Take the square root of each side:
x = {-2.915475947, 2.915475947}