4.6=-16x^2+5.8

Solution for 4.6=-16x^2+5.8 equation:

Simplifying
4.6 = -16x2 + 5.8

Reorder the terms:
4.6 = 5.8 + -16x2

Solving
4.6 = 5.8 + -16x2

Solving for variable 'x'.

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

Add '16x2' to each side of the equation.
4.6 + 16x2 = 5.8 + -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
4.6 + 16x2 = 5.8 + 0
4.6 + 16x2 = 5.8

Add '-4.6' to each side of the equation.
4.6 + -4.6 + 16x2 = 5.8 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + 16x2 = 5.8 + -4.6
16x2 = 5.8 + -4.6

Combine like terms: 5.8 + -4.6 = 1.2
16x2 = 1.2

Divide each side by '16'.
x2 = 0.075

Simplifying
x2 = 0.075

Take the square root of each side:
x = {-0.273861279, 0.273861279}