7x^2-5=100

Solution for 7x^2-5=100 equation:

Simplifying
7x2 + -5 = 100

Reorder the terms:
-5 + 7x2 = 100

Solving
-5 + 7x2 = 100

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 7x2 = 100 + 5

Combine like terms: -5 + 5 = 0
0 + 7x2 = 100 + 5
7x2 = 100 + 5

Combine like terms: 100 + 5 = 105
7x2 = 105

Divide each side by '7'.
x2 = 15

Simplifying
x2 = 15

Take the square root of each side:
x = {-3.872983346, 3.872983346}