2a^2+32-126=0

Solution for 2a^2+32-126=0 equation:

Simplifying
2a2 + 32 + -126 = 0

Reorder the terms:
32 + -126 + 2a2 = 0

Combine like terms: 32 + -126 = -94
-94 + 2a2 = 0

Solving
-94 + 2a2 = 0

Solving for variable 'a'.

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

Add '94' to each side of the equation.
-94 + 94 + 2a2 = 0 + 94

Combine like terms: -94 + 94 = 0
0 + 2a2 = 0 + 94
2a2 = 0 + 94

Combine like terms: 0 + 94 = 94
2a2 = 94

Divide each side by '2'.
a2 = 47

Simplifying
a2 = 47

Take the square root of each side:
a = {-6.8556546, 6.8556546}