3x^2+4=5x^2-4

Solution for 3x^2+4=5x^2-4 equation:

Simplifying
3x2 + 4 = 5x2 + -4

Reorder the terms:
4 + 3x2 = 5x2 + -4

Reorder the terms:
4 + 3x2 = -4 + 5x2

Solving
4 + 3x2 = -4 + 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
4 + 3x2 + -5x2 = -4 + 5x2 + -5x2

Combine like terms: 3x2 + -5x2 = -2x2
4 + -2x2 = -4 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
4 + -2x2 = -4 + 0
4 + -2x2 = -4

Add '-4' to each side of the equation.
4 + -4 + -2x2 = -4 + -4

Combine like terms: 4 + -4 = 0
0 + -2x2 = -4 + -4
-2x2 = -4 + -4

Combine like terms: -4 + -4 = -8
-2x2 = -8

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

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}