5(a^2-4)+13=

Solution for 5(a^2-4)+13= equation:

Simplifying
5(a2 + -4) + 13 = 0

Reorder the terms:
5(-4 + a2) + 13 = 0
(-4 * 5 + a2 * 5) + 13 = 0
(-20 + 5a2) + 13 = 0

Reorder the terms:
-20 + 13 + 5a2 = 0

Combine like terms: -20 + 13 = -7
-7 + 5a2 = 0

Solving
-7 + 5a2 = 0

Solving for variable 'a'.

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

Add '7' to each side of the equation.
-7 + 7 + 5a2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 5a2 = 0 + 7
5a2 = 0 + 7

Combine like terms: 0 + 7 = 7
5a2 = 7

Divide each side by '5'.
a2 = 1.4

Simplifying
a2 = 1.4

Take the square root of each side:
a = {-1.183215957, 1.183215957}