786+0.5*10*x^2=3950

Solution for 786+0.5*10*x^2=3950 equation:

Simplifying
786 + 0.5 * 10x2 = 3950

Multiply 0.5 * 10
786 + 5x2 = 3950

Solving
786 + 5x2 = 3950

Solving for variable 'x'.

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

Add '-786' to each side of the equation.
786 + -786 + 5x2 = 3950 + -786

Combine like terms: 786 + -786 = 0
0 + 5x2 = 3950 + -786
5x2 = 3950 + -786

Combine like terms: 3950 + -786 = 3164
5x2 = 3164

Divide each side by '5'.
x2 = 632.8

Simplifying
x2 = 632.8

Take the square root of each side:
x = {-25.155516294, 25.155516294}