4x^2+4+x^2=9x^2-4

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

Simplifying
4x2 + 4 + x2 = 9x2 + -4

Reorder the terms:
4 + 4x2 + x2 = 9x2 + -4

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

Reorder the terms:
4 + 5x2 = -4 + 9x2

Solving
4 + 5x2 = -4 + 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.
4 + 5x2 + -9x2 = -4 + 9x2 + -9x2

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

Combine like terms: 9x2 + -9x2 = 0
4 + -4x2 = -4 + 0
4 + -4x2 = -4

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

Combine like terms: 4 + -4 = 0
0 + -4x2 = -4 + -4
-4x2 = -4 + -4

Combine like terms: -4 + -4 = -8
-4x2 = -8

Divide each side by '-4'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}