4a(4a)-49=

Solution for 4a(4a)-49= equation:

Simplifying
4a(4a) + -49 = 0

Remove parenthesis around (4a)
4a * 4a + -49 = 0

Reorder the terms for easier multiplication:
4 * 4a * a + -49 = 0

Multiply 4 * 4
16a * a + -49 = 0

Multiply a * a
16a2 + -49 = 0

Reorder the terms:
-49 + 16a2 = 0

Solving
-49 + 16a2 = 0

Solving for variable 'a'.

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

Add '49' to each side of the equation.
-49 + 49 + 16a2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 16a2 = 0 + 49
16a2 = 0 + 49

Combine like terms: 0 + 49 = 49
16a2 = 49

Divide each side by '16'.
a2 = 3.0625

Simplifying
a2 = 3.0625

Take the square root of each side:
a = {-1.75, 1.75}