2x^2=3x^2-50

Solution for 2x^2=3x^2-50 equation:

Simplifying
2x2 = 3x2 + -50

Reorder the terms:
2x2 = -50 + 3x2

Solving
2x2 = -50 + 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.
2x2 + -3x2 = -50 + 3x2 + -3x2

Combine like terms: 2x2 + -3x2 = -1x2
-1x2 = -50 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-1x2 = -50 + 0
-1x2 = -50

Divide each side by '-1'.
x2 = 50

Simplifying
x2 = 50

Take the square root of each side:
x = {-7.071067812, 7.071067812}