(x^2+3)*.5=100

Solution for (x^2+3)*.5=100 equation:

Simplifying
(x2 + 3) * 0.5 = 100

Reorder the terms:
(3 + x2) * 0.5 = 100

Reorder the terms for easier multiplication:
0.5(3 + x2) = 100
(3 * 0.5 + x2 * 0.5) = 100
(1.5 + 0.5x2) = 100

Solving
1.5 + 0.5x2 = 100

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.5x2 = 100 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.5x2 = 100 + -1.5
0.5x2 = 100 + -1.5

Combine like terms: 100 + -1.5 = 98.5
0.5x2 = 98.5

Divide each side by '0.5'.
x2 = 197

Simplifying
x2 = 197

Take the square root of each side:
x = {-14.035668848, 14.035668848}