(-4a^2+7)+3(4a^2-3)=

Solution for (-4a^2+7)+3(4a^2-3)= equation:

Simplifying
(-4a2 + 7) + 3(4a2 + -3) = 0

Reorder the terms:
(7 + -4a2) + 3(4a2 + -3) = 0

Remove parenthesis around (7 + -4a2)
7 + -4a2 + 3(4a2 + -3) = 0

Reorder the terms:
7 + -4a2 + 3(-3 + 4a2) = 0
7 + -4a2 + (-3 * 3 + 4a2 * 3) = 0
7 + -4a2 + (-9 + 12a2) = 0

Reorder the terms:
7 + -9 + -4a2 + 12a2 = 0

Combine like terms: 7 + -9 = -2
-2 + -4a2 + 12a2 = 0

Combine like terms: -4a2 + 12a2 = 8a2
-2 + 8a2 = 0

Solving
-2 + 8a2 = 0

Solving for variable 'a'.

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

Add '2' to each side of the equation.
-2 + 2 + 8a2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 8a2 = 0 + 2
8a2 = 0 + 2

Combine like terms: 0 + 2 = 2
8a2 = 2

Divide each side by '8'.
a2 = 0.25

Simplifying
a2 = 0.25

Take the square root of each side:
a = {-0.5, 0.5}