4x^2+18x+189=0

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Solution for 4x^2+18x+189=0 equation:


Simplifying
4x2 + 18x + 189 = 0

Reorder the terms:
189 + 18x + 4x2 = 0

Solving
189 + 18x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
47.25 + 4.5x + x2 = 0

Move the constant term to the right:

Add '-47.25' to each side of the equation.
47.25 + 4.5x + -47.25 + x2 = 0 + -47.25

Reorder the terms:
47.25 + -47.25 + 4.5x + x2 = 0 + -47.25

Combine like terms: 47.25 + -47.25 = 0.00
0.00 + 4.5x + x2 = 0 + -47.25
4.5x + x2 = 0 + -47.25

Combine like terms: 0 + -47.25 = -47.25
4.5x + x2 = -47.25

The x term is 4.5x.  Take half its coefficient (2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
4.5x + 5.0625 + x2 = -47.25 + 5.0625

Reorder the terms:
5.0625 + 4.5x + x2 = -47.25 + 5.0625

Combine like terms: -47.25 + 5.0625 = -42.1875
5.0625 + 4.5x + x2 = -42.1875

Factor a perfect square on the left side:
(x + 2.25)(x + 2.25) = -42.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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