12=2x^2+5

Solution for 12=2x^2+5 equation:

Simplifying
12 = 2x2 + 5

Reorder the terms:
12 = 5 + 2x2

Solving
12 = 5 + 2x2

Solving for variable 'x'.

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

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

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

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

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

Combine like terms: 5 + -12 = -7
-2x2 = -7

Divide each side by '-2'.
x2 = 3.5

Simplifying
x2 = 3.5

Take the square root of each side:
x = {-1.870828693, 1.870828693}