2z^2+4=3z^2

Solution for 2z^2+4=3z^2 equation:

Simplifying
2z2 + 4 = 3z2

Reorder the terms:
4 + 2z2 = 3z2

Solving
4 + 2z2 = 3z2

Solving for variable 'z'.

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

Add '-3z2' to each side of the equation.
4 + 2z2 + -3z2 = 3z2 + -3z2

Combine like terms: 2z2 + -3z2 = -1z2
4 + -1z2 = 3z2 + -3z2

Combine like terms: 3z2 + -3z2 = 0
4 + -1z2 = 0

Add '-4' to each side of the equation.
4 + -4 + -1z2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1z2 = 0 + -4
-1z2 = 0 + -4

Combine like terms: 0 + -4 = -4
-1z2 = -4

Divide each side by '-1'.
z2 = 4

Simplifying
z2 = 4

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