5m*5m+1=3125

Solution for 5m*5m+1=3125 equation:

Simplifying
5m * 5m + 1 = 3125

Reorder the terms for easier multiplication:
5 * 5m * m + 1 = 3125

Multiply 5 * 5
25m * m + 1 = 3125

Multiply m * m
25m2 + 1 = 3125

Reorder the terms:
1 + 25m2 = 3125

Solving
1 + 25m2 = 3125

Solving for variable 'm'.

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

Add '-1' to each side of the equation.
1 + -1 + 25m2 = 3125 + -1

Combine like terms: 1 + -1 = 0
0 + 25m2 = 3125 + -1
25m2 = 3125 + -1

Combine like terms: 3125 + -1 = 3124
25m2 = 3124

Divide each side by '25'.
m2 = 124.96

Simplifying
m2 = 124.96

Take the square root of each side:
m = {-11.17855089, 11.17855089}