4x^2+6=3x^2+18

Solution for 4x^2+6=3x^2+18 equation:

Simplifying
4x2 + 6 = 3x2 + 18

Reorder the terms:
6 + 4x2 = 3x2 + 18

Reorder the terms:
6 + 4x2 = 18 + 3x2

Solving
6 + 4x2 = 18 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
6 + 4x2 + -3x2 = 18 + 3x2 + -3x2

Combine like terms: 4x2 + -3x2 = 1x2
6 + 1x2 = 18 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
6 + 1x2 = 18 + 0
6 + 1x2 = 18

Add '-6' to each side of the equation.
6 + -6 + 1x2 = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 1x2 = 18 + -6
1x2 = 18 + -6

Combine like terms: 18 + -6 = 12
1x2 = 12

Divide each side by '1'.
x2 = 12

Simplifying
x2 = 12

Take the square root of each side:
x = {-3.464101615, 3.464101615}