8a^2-25=7a^2

Solution for 8a^2-25=7a^2 equation:

Simplifying
8a2 + -25 = 7a2

Reorder the terms:
-25 + 8a2 = 7a2

Solving
-25 + 8a2 = 7a2

Solving for variable 'a'.

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

Add '-7a2' to each side of the equation.
-25 + 8a2 + -7a2 = 7a2 + -7a2

Combine like terms: 8a2 + -7a2 = 1a2
-25 + 1a2 = 7a2 + -7a2

Combine like terms: 7a2 + -7a2 = 0
-25 + 1a2 = 0

Add '25' to each side of the equation.
-25 + 25 + 1a2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 1a2 = 0 + 25
1a2 = 0 + 25

Combine like terms: 0 + 25 = 25
1a2 = 25

Divide each side by '1'.
a2 = 25

Simplifying
a2 = 25

Take the square root of each side:
a = {-5, 5}