0.5*a*a-2=40

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Solution for 0.5*a*a-2=40 equation:


Simplifying
0.5a * a + -2 = 40

Multiply a * a
0.5a2 + -2 = 40

Reorder the terms:
-2 + 0.5a2 = 40

Solving
-2 + 0.5a2 = 40

Solving for variable 'a'.

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

Add '2' to each side of the equation.
-2 + 2 + 0.5a2 = 40 + 2

Combine like terms: -2 + 2 = 0
0 + 0.5a2 = 40 + 2
0.5a2 = 40 + 2

Combine like terms: 40 + 2 = 42
0.5a2 = 42

Divide each side by '0.5'.
a2 = 84

Simplifying
a2 = 84

Take the square root of each side:
a = {-9.16515139, 9.16515139}

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