=30+(0.2x^2+4x)

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Solution for =30+(0.2x^2+4x) equation: 


Simplifying
0 = 30 + (0.2x2 + 4x)

Reorder the terms:
0 = 30 + (4x + 0.2x2)

Remove parenthesis around (4x + 0.2x2)
0 = 30 + 4x + 0.2x2

Solving
0 = 30 + 4x + 0.2x2

Solving for variable 'x'.

Combine like terms: 0 + -30 = -30
-30 + -4x + -0.2x2 = 30 + 4x + 0.2x2 + -30 + -4x + -0.2x2

Reorder the terms:
-30 + -4x + -0.2x2 = 30 + -30 + 4x + -4x + 0.2x2 + -0.2x2

Combine like terms: 30 + -30 = 0
-30 + -4x + -0.2x2 = 0 + 4x + -4x + 0.2x2 + -0.2x2
-30 + -4x + -0.2x2 = 4x + -4x + 0.2x2 + -0.2x2

Combine like terms: 4x + -4x = 0
-30 + -4x + -0.2x2 = 0 + 0.2x2 + -0.2x2
-30 + -4x + -0.2x2 = 0.2x2 + -0.2x2

Combine like terms: 0.2x2 + -0.2x2 = 0.0
-30 + -4x + -0.2x2 = 0.0

Begin completing the square.  Divide all terms by
-0.2 the coefficient of the squared term: 

Divide each side by '-0.2'.
150 + 20x + x2 = 0

Move the constant term to the right:

Add '-150' to each side of the equation.
150 + 20x + -150 + x2 = 0 + -150

Reorder the terms:
150 + -150 + 20x + x2 = 0 + -150

Combine like terms: 150 + -150 = 0
0 + 20x + x2 = 0 + -150
20x + x2 = 0 + -150

Combine like terms: 0 + -150 = -150
20x + x2 = -150

The x term is 20x.  Take half its coefficient (10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
20x + 100 + x2 = -150 + 100

Reorder the terms:
100 + 20x + x2 = -150 + 100

Combine like terms: -150 + 100 = -50
100 + 20x + x2 = -50

Factor a perfect square on the left side:
(x + 10)(x + 10) = -50

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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