6a^2-31a^2+28=0

Solution for 6a^2-31a^2+28=0 equation:

Simplifying
6a2 + -31a2 + 28 = 0

Reorder the terms:
28 + 6a2 + -31a2 = 0

Combine like terms: 6a2 + -31a2 = -25a2
28 + -25a2 = 0

Solving
28 + -25a2 = 0

Solving for variable 'a'.

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

Add '-28' to each side of the equation.
28 + -28 + -25a2 = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -25a2 = 0 + -28
-25a2 = 0 + -28

Combine like terms: 0 + -28 = -28
-25a2 = -28

Divide each side by '-25'.
a2 = 1.12

Simplifying
a2 = 1.12

Take the square root of each side:
a = {-1.058300524, 1.058300524}