0.75x^2+1=16

Solution for 0.75x^2+1=16 equation:

Simplifying
0.75x2 + 1 = 16

Reorder the terms:
1 + 0.75x2 = 16

Solving
1 + 0.75x2 = 16

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 0.75x2 = 16 + -1

Combine like terms: 1 + -1 = 0
0 + 0.75x2 = 16 + -1
0.75x2 = 16 + -1

Combine like terms: 16 + -1 = 15
0.75x2 = 15

Divide each side by '0.75'.
x2 = 20

Simplifying
x2 = 20

Take the square root of each side:
x = {-4.472135955, 4.472135955}