586=(x^2)(4.6)

Solution for 586=(x^2)(4.6) equation:

Simplifying
586 = (x2)(4.6)

Reorder the terms for easier multiplication:
586 = 4.6x2

Solving
586 = 4.6x2

Solving for variable 'x'.

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

Add '-4.6x2' to each side of the equation.
586 + -4.6x2 = 4.6x2 + -4.6x2

Combine like terms: 4.6x2 + -4.6x2 = 0.0
586 + -4.6x2 = 0.0

Add '-586' to each side of the equation.
586 + -586 + -4.6x2 = 0.0 + -586

Combine like terms: 586 + -586 = 0
0 + -4.6x2 = 0.0 + -586
-4.6x2 = 0.0 + -586

Combine like terms: 0.0 + -586 = -586
-4.6x2 = -586

Divide each side by '-4.6'.
x2 = 127.3913043

Simplifying
x2 = 127.3913043

Take the square root of each side:
x = {-11.286775638, 11.286775638}