-5x^2+400=-100

Solution for -5x^2+400=-100 equation:

Simplifying
-5x2 + 400 = -100

Reorder the terms:
400 + -5x2 = -100

Solving
400 + -5x2 = -100

Solving for variable 'x'.

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

Add '-400' to each side of the equation.
400 + -400 + -5x2 = -100 + -400

Combine like terms: 400 + -400 = 0
0 + -5x2 = -100 + -400
-5x2 = -100 + -400

Combine like terms: -100 + -400 = -500
-5x2 = -500

Divide each side by '-5'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}