4x^2+25=9x^2

Solution for 4x^2+25=9x^2 equation:

Simplifying
4x2 + 25 = 9x2

Reorder the terms:
25 + 4x2 = 9x2

Solving
25 + 4x2 = 9x2

Solving for variable 'x'.

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

Add '-9x2' to each side of the equation.
25 + 4x2 + -9x2 = 9x2 + -9x2

Combine like terms: 4x2 + -9x2 = -5x2
25 + -5x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
25 + -5x2 = 0

Add '-25' to each side of the equation.
25 + -25 + -5x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -5x2 = 0 + -25
-5x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-5x2 = -25

Divide each side by '-5'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}