5(x^2+16)=90

Solution for 5(x^2+16)=90 equation:

Simplifying
5(x2 + 16) = 90

Reorder the terms:
5(16 + x2) = 90
(16 * 5 + x2 * 5) = 90
(80 + 5x2) = 90

Solving
80 + 5x2 = 90

Solving for variable 'x'.

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

Add '-80' to each side of the equation.
80 + -80 + 5x2 = 90 + -80

Combine like terms: 80 + -80 = 0
0 + 5x2 = 90 + -80
5x2 = 90 + -80

Combine like terms: 90 + -80 = 10
5x2 = 10

Divide each side by '5'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}