5x^2-100=150

Solution for 5x^2-100=150 equation:

Simplifying
5x2 + -100 = 150

Reorder the terms:
-100 + 5x2 = 150

Solving
-100 + 5x2 = 150

Solving for variable 'x'.

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

Add '100' to each side of the equation.
-100 + 100 + 5x2 = 150 + 100

Combine like terms: -100 + 100 = 0
0 + 5x2 = 150 + 100
5x2 = 150 + 100

Combine like terms: 150 + 100 = 250
5x2 = 250

Divide each side by '5'.
x2 = 50

Simplifying
x2 = 50

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