4x^2-1=5x^2-50

Solution for 4x^2-1=5x^2-50 equation:

Simplifying
4x2 + -1 = 5x2 + -50

Reorder the terms:
-1 + 4x2 = 5x2 + -50

Reorder the terms:
-1 + 4x2 = -50 + 5x2

Solving
-1 + 4x2 = -50 + 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.
-1 + 4x2 + -5x2 = -50 + 5x2 + -5x2

Combine like terms: 4x2 + -5x2 = -1x2
-1 + -1x2 = -50 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-1 + -1x2 = -50 + 0
-1 + -1x2 = -50

Add '1' to each side of the equation.
-1 + 1 + -1x2 = -50 + 1

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

Combine like terms: -50 + 1 = -49
-1x2 = -49

Divide each side by '-1'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}