(14a^2+5)-(4a^2+9)=

Solution for (14a^2+5)-(4a^2+9)= equation:

Simplifying
(14a2 + 5) + -1(4a2 + 9) = 0

Reorder the terms:
(5 + 14a2) + -1(4a2 + 9) = 0

Remove parenthesis around (5 + 14a2)
5 + 14a2 + -1(4a2 + 9) = 0

Reorder the terms:
5 + 14a2 + -1(9 + 4a2) = 0
5 + 14a2 + (9 * -1 + 4a2 * -1) = 0
5 + 14a2 + (-9 + -4a2) = 0

Reorder the terms:
5 + -9 + 14a2 + -4a2 = 0

Combine like terms: 5 + -9 = -4
-4 + 14a2 + -4a2 = 0

Combine like terms: 14a2 + -4a2 = 10a2
-4 + 10a2 = 0

Solving
-4 + 10a2 = 0

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 4 + 10a2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 10a2 = 0 + 4
10a2 = 0 + 4

Combine like terms: 0 + 4 = 4
10a2 = 4

Divide each side by '10'.
a2 = 0.4

Simplifying
a2 = 0.4

Take the square root of each side:
a = {-0.632455532, 0.632455532}