4x^2+225=16x^2

Solution for 4x^2+225=16x^2 equation:

Simplifying
4x2 + 225 = 16x2

Reorder the terms:
225 + 4x2 = 16x2

Solving
225 + 4x2 = 16x2

Solving for variable 'x'.

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

Add '-16x2' to each side of the equation.
225 + 4x2 + -16x2 = 16x2 + -16x2

Combine like terms: 4x2 + -16x2 = -12x2
225 + -12x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
225 + -12x2 = 0

Add '-225' to each side of the equation.
225 + -225 + -12x2 = 0 + -225

Combine like terms: 225 + -225 = 0
0 + -12x2 = 0 + -225
-12x2 = 0 + -225

Combine like terms: 0 + -225 = -225
-12x2 = -225

Divide each side by '-12'.
x2 = 18.75

Simplifying
x2 = 18.75

Take the square root of each side:
x = {-4.330127019, 4.330127019}