(19x^2-51)=16x^2

Solution for (19x^2-51)=16x^2 equation:

Simplifying
(19x2 + -51) = 16x2

Reorder the terms:
(-51 + 19x2) = 16x2

Remove parenthesis around (-51 + 19x2)
-51 + 19x2 = 16x2

Solving
-51 + 19x2 = 16x2

Solving for variable 'x'.

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

Add '-16x2' to each side of the equation.
-51 + 19x2 + -16x2 = 16x2 + -16x2

Combine like terms: 19x2 + -16x2 = 3x2
-51 + 3x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-51 + 3x2 = 0

Add '51' to each side of the equation.
-51 + 51 + 3x2 = 0 + 51

Combine like terms: -51 + 51 = 0
0 + 3x2 = 0 + 51
3x2 = 0 + 51

Combine like terms: 0 + 51 = 51
3x2 = 51

Divide each side by '3'.
x2 = 17

Simplifying
x2 = 17

Take the square root of each side:
x = {-4.123105626, 4.123105626}