a^2-8a^2+11=0

Solution for a^2-8a^2+11=0 equation:

Simplifying
a2 + -8a2 + 11 = 0

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

Combine like terms: a2 + -8a2 = -7a2
11 + -7a2 = 0

Solving
11 + -7a2 = 0

Solving for variable 'a'.

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

Add '-11' to each side of the equation.
11 + -11 + -7a2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -7a2 = 0 + -11
-7a2 = 0 + -11

Combine like terms: 0 + -11 = -11
-7a2 = -11

Divide each side by '-7'.
a2 = 1.571428571

Simplifying
a2 = 1.571428571

Take the square root of each side:
a = {-1.253566341, 1.253566341}