-0.5x^2+3.7=-4.2

Solution for -0.5x^2+3.7=-4.2 equation:

Simplifying
-0.5x2 + 3.7 = -4.2

Reorder the terms:
3.7 + -0.5x2 = -4.2

Solving
3.7 + -0.5x2 = -4.2

Solving for variable 'x'.

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

Add '-3.7' to each side of the equation.
3.7 + -3.7 + -0.5x2 = -4.2 + -3.7

Combine like terms: 3.7 + -3.7 = 0.0
0.0 + -0.5x2 = -4.2 + -3.7
-0.5x2 = -4.2 + -3.7

Combine like terms: -4.2 + -3.7 = -7.9
-0.5x2 = -7.9

Divide each side by '-0.5'.
x2 = 15.8

Simplifying
x2 = 15.8

Take the square root of each side:
x = {-3.974921383, 3.974921383}