4x^2-100=300

Solution for 4x^2-100=300 equation:

Simplifying
4x2 + -100 = 300

Reorder the terms:
-100 + 4x2 = 300

Solving
-100 + 4x2 = 300

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 + 4x2 = 300 + 100

Combine like terms: -100 + 100 = 0
0 + 4x2 = 300 + 100
4x2 = 300 + 100

Combine like terms: 300 + 100 = 400
4x2 = 400

Divide each side by '4'.
x2 = 100

Simplifying
x2 = 100

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