a^2-8a^2+12=0

Solution for a^2-8a^2+12=0 equation:

Simplifying
a2 + -8a2 + 12 = 0

Reorder the terms:
12 + a2 + -8a2 = 0

Combine like terms: a2 + -8a2 = -7a2
12 + -7a2 = 0

Solving
12 + -7a2 = 0

Solving for variable 'a'.

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

Add '-12' to each side of the equation.
12 + -12 + -7a2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -7a2 = 0 + -12
-7a2 = 0 + -12

Combine like terms: 0 + -12 = -12
-7a2 = -12

Divide each side by '-7'.
a2 = 1.714285714

Simplifying
a2 = 1.714285714

Take the square root of each side:
a = {-1.309307341, 1.309307341}