4x^2+16=9x^2

Solution for 4x^2+16=9x^2 equation:

Simplifying
4x2 + 16 = 9x2

Reorder the terms:
16 + 4x2 = 9x2

Solving
16 + 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.
16 + 4x2 + -9x2 = 9x2 + -9x2

Combine like terms: 4x2 + -9x2 = -5x2
16 + -5x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
16 + -5x2 = 0

Add '-16' to each side of the equation.
16 + -16 + -5x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -5x2 = 0 + -16
-5x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-5x2 = -16

Divide each side by '-5'.
x2 = 3.2

Simplifying
x2 = 3.2

Take the square root of each side:
x = {-1.788854382, 1.788854382}