10a^2+39=9a^2+48

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Solution for 10a^2+39=9a^2+48 equation:


Simplifying
10a2 + 39 = 9a2 + 48

Reorder the terms:
39 + 10a2 = 9a2 + 48

Reorder the terms:
39 + 10a2 = 48 + 9a2

Solving
39 + 10a2 = 48 + 9a2

Solving for variable 'a'.

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

Add '-9a2' to each side of the equation.
39 + 10a2 + -9a2 = 48 + 9a2 + -9a2

Combine like terms: 10a2 + -9a2 = 1a2
39 + 1a2 = 48 + 9a2 + -9a2

Combine like terms: 9a2 + -9a2 = 0
39 + 1a2 = 48 + 0
39 + 1a2 = 48

Add '-39' to each side of the equation.
39 + -39 + 1a2 = 48 + -39

Combine like terms: 39 + -39 = 0
0 + 1a2 = 48 + -39
1a2 = 48 + -39

Combine like terms: 48 + -39 = 9
1a2 = 9

Divide each side by '1'.
a2 = 9

Simplifying
a2 = 9

Take the square root of each side:
a = {-3, 3}

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