x=30000+20x^2+20x

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Solution for x=30000+20x^2+20x equation: 


Simplifying
x = 30000 + 20x2 + 20x

Reorder the terms:
x = 30000 + 20x + 20x2

Solving
x = 30000 + 20x + 20x2

Solving for variable 'x'.

Reorder the terms:
-30000 + x + -20x + -20x2 = 30000 + 20x + 20x2 + -30000 + -20x + -20x2

Combine like terms: x + -20x = -19x
-30000 + -19x + -20x2 = 30000 + 20x + 20x2 + -30000 + -20x + -20x2

Reorder the terms:
-30000 + -19x + -20x2 = 30000 + -30000 + 20x + -20x + 20x2 + -20x2

Combine like terms: 30000 + -30000 = 0
-30000 + -19x + -20x2 = 0 + 20x + -20x + 20x2 + -20x2
-30000 + -19x + -20x2 = 20x + -20x + 20x2 + -20x2

Combine like terms: 20x + -20x = 0
-30000 + -19x + -20x2 = 0 + 20x2 + -20x2
-30000 + -19x + -20x2 = 20x2 + -20x2

Combine like terms: 20x2 + -20x2 = 0
-30000 + -19x + -20x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(30000 + 19x + 20x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(30000 + 19x + 20x2)' equal to zero and attempt to solve:

Simplifying
30000 + 19x + 20x2 = 0

Solving
30000 + 19x + 20x2 = 0

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

Divide each side by '20'.
1500 + 0.95x + x2 = 0.0

Move the constant term to the right:

Add '-1500' to each side of the equation.
1500 + 0.95x + -1500 + x2 = 0.0 + -1500

Reorder the terms:
1500 + -1500 + 0.95x + x2 = 0.0 + -1500

Combine like terms: 1500 + -1500 = 0
0 + 0.95x + x2 = 0.0 + -1500
0.95x + x2 = 0.0 + -1500

Combine like terms: 0.0 + -1500 = -1500
0.95x + x2 = -1500

The x term is 0.95x.  Take half its coefficient (0.475).
Square it (0.225625) and add it to both sides.

Add '0.225625' to each side of the equation.
0.95x + 0.225625 + x2 = -1500 + 0.225625

Reorder the terms:
0.225625 + 0.95x + x2 = -1500 + 0.225625

Combine like terms: -1500 + 0.225625 = -1499.774375
0.225625 + 0.95x + x2 = -1499.774375

Factor a perfect square on the left side:
(x + 0.475)(x + 0.475) = -1499.774375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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