7x^2-6=100

Solution for 7x^2-6=100 equation:

Simplifying
7x2 + -6 = 100

Reorder the terms:
-6 + 7x2 = 100

Solving
-6 + 7x2 = 100

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 7x2 = 100 + 6

Combine like terms: -6 + 6 = 0
0 + 7x2 = 100 + 6
7x2 = 100 + 6

Combine like terms: 100 + 6 = 106
7x2 = 106

Divide each side by '7'.
x2 = 15.14285714

Simplifying
x2 = 15.14285714

Take the square root of each side:
x = {-3.89138242, 3.89138242}