50x^2-100=40x^2

Solution for 50x^2-100=40x^2 equation:

Simplifying
50x2 + -100 = 40x2

Reorder the terms:
-100 + 50x2 = 40x2

Solving
-100 + 50x2 = 40x2

Solving for variable 'x'.

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

Add '-40x2' to each side of the equation.
-100 + 50x2 + -40x2 = 40x2 + -40x2

Combine like terms: 50x2 + -40x2 = 10x2
-100 + 10x2 = 40x2 + -40x2

Combine like terms: 40x2 + -40x2 = 0
-100 + 10x2 = 0

Add '100' to each side of the equation.
-100 + 100 + 10x2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 10x2 = 0 + 100
10x2 = 0 + 100

Combine like terms: 0 + 100 = 100
10x2 = 100

Divide each side by '10'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}