2500=(9x^2)+(16x^2)

Solution for 2500=(9x^2)+(16x^2) equation:

Simplifying
2500 = (9x2) + (16x2)

Combine like terms: (9x2) + (16x2) = 25x2
2500 = 25x2

Solving
2500 = 25x2

Solving for variable 'x'.

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

Add '-25x2' to each side of the equation.
2500 + -25x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
2500 + -25x2 = 0

Add '-2500' to each side of the equation.
2500 + -2500 + -25x2 = 0 + -2500

Combine like terms: 2500 + -2500 = 0
0 + -25x2 = 0 + -2500
-25x2 = 0 + -2500

Combine like terms: 0 + -2500 = -2500
-25x2 = -2500

Divide each side by '-25'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}