10(x^2+6)=100

Solution for 10(x^2+6)=100 equation:

Simplifying
10(x2 + 6) = 100

Reorder the terms:
10(6 + x2) = 100
(6 * 10 + x2 * 10) = 100
(60 + 10x2) = 100

Solving
60 + 10x2 = 100

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 10x2 = 100 + -60

Combine like terms: 60 + -60 = 0
0 + 10x2 = 100 + -60
10x2 = 100 + -60

Combine like terms: 100 + -60 = 40
10x2 = 40

Divide each side by '10'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}