320=x+(x*5.8)+((x*5.8)*5.8)

Solution for 320=x+(x*5.8)+((x*5.8)*5.8) equation:

Simplifying
320 = x + (x * 5.8) + ((x * 5.8) * 5.8)

Reorder the terms for easier multiplication:
320 = x + (5.8x) + ((x * 5.8) * 5.8)

Reorder the terms for easier multiplication:
320 = x + (5.8x) + ((5.8x) * 5.8)

Remove parenthesis around (5.8x)
320 = x + (5.8x) + (5.8x * 5.8)

Reorder the terms for easier multiplication:
320 = x + (5.8x) + (5.8 * 5.8x)

Multiply 5.8 * 5.8
320 = x + (5.8x) + (33.64x)

Combine like terms: x + (5.8x) = 6.8x
320 = 6.8x + (33.64x)

Combine like terms: 6.8x + (33.64x) = 40.44x
320 = 40.44x

Solving
320 = 40.44x

Solving for variable 'x'.

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

Add '-40.44x' to each side of the equation.
320 + -40.44x = 40.44x + -40.44x

Combine like terms: 40.44x + -40.44x = 0.00
320 + -40.44x = 0.00

Add '-320' to each side of the equation.
320 + -320 + -40.44x = 0.00 + -320

Combine like terms: 320 + -320 = 0
0 + -40.44x = 0.00 + -320
-40.44x = 0.00 + -320

Combine like terms: 0.00 + -320 = -320
-40.44x = -320

Divide each side by '-40.44'.
x = 7.912957468

Simplifying
x = 7.912957468