5a^2-9=46

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Solution for 5a^2-9=46 equation:


Simplifying
5a2 + -9 = 46

Reorder the terms:
-9 + 5a2 = 46

Solving
-9 + 5a2 = 46

Solving for variable 'a'.

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

Add '9' to each side of the equation.
-9 + 9 + 5a2 = 46 + 9

Combine like terms: -9 + 9 = 0
0 + 5a2 = 46 + 9
5a2 = 46 + 9

Combine like terms: 46 + 9 = 55
5a2 = 55

Divide each side by '5'.
a2 = 11

Simplifying
a2 = 11

Take the square root of each side:
a = {-3.31662479, 3.31662479}

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